Reviews

Mathematical Reviews

• MR2835198 A. Klamt and C. Stroppel: On the Ext algebras of parabolic Verma modules and A_\infty-structures, J. Pure Appl. Algebra 216 (2012), no. 2, 323-336 pdf
• MR2819972 Bin Li and Hechun Zhang: Path realization of crystal B(\infty), Front. Math. China 6 (2011), no. 4, 689-706 pdf
• MR2012d:17034 A. Ram and P. Tingley: Universal Verma modules and the Misra-Miwa Fock space, Int. J. Math. Math. Sci. 2010, Art. ID 326247, 19 pp. pdf
• MR2012b:17031 Jie Du and Qiang Fu: A modified BLM approach to quantum affine gl_n, Math. Z. 266 (2010), no. 4, 747-781 pdf
• MR2012b:17030 C. M. Drupieski: Representations and cohomology for Frobenius-Lusztig kernels, J. Pure Appl. Algebra 215 (2011), no. 6, 1473-1491 pdf
• MR2011j:17035 S. Bouarroudj, P. Grozman, A. Lebedev, and D. Leites: Divided power (co)homology. Presentations of simple finite dimensional modular Lie superalgebras with Cartan matrix, Homology Homotopy Appl. 12 (2010), no. 1, 237-278 pdf
• MR2010g:17016 Y. Wu and R. B. Zhang: Unitary highest weight representations of quantum general linear superalgebra, J. Algebra 321 (2009), no. 11, 3568-3593 pdf
• MR2009j:17016 G. Cairns and S. Jambor: The cohomology of the Heisenberg Lie algebras over fields of finite characteristic, Proc. Amer. Math. Soc. 136 (2008), no. 11, 3803-3807 pdf
• MR2009a:17027 H. Strade: Lie algebras of small dimension, in: Lie Algebras, Vertex Operator Algebras and Their Applications, Raleigh, NC, 2005 (eds. Y.-Z. Huang and K. C. Misra), Contemp. Math., vol. 442, Amer. Math. Soc., Providence, RI, 2007, pp. 233-265 pdf
• MR2008f:17028 Hyeonmi Lee: Extended Nakajima monomials and crystal B(\infty) for finite simple Lie algebras, J. Algebra 314 (2007), no. 1, 439-470 pdf
• MR2007j:16043 Rencai Lü and Kaiming Zhao: Structure of Weyl type Lie algebras, J. Algebra 306 (2006), no. 2, 552-565 pdf
• MR2007i:17015 A. I. Ooms: The Gelfand-Kirillov conjecture for semi-direct products of Lie algebras, J. Algebra 305 (2006), no. 2, 901-911 pdf
• MR2007c:17028 Kaiming Zhao: Weyl type algebras from quantum tori, Commun. Contemp. Math. 8 (2006), no. 2, 135-165 pdf
• MR2006g:16044 W. Murray: Bilinear forms on Frobenius algebras, J. Algebra 293 (2005), no. 1, 89-101 pdf
• MR2006b:17020 H. Alnajjar and B. Curtin: A family of tridiagonal pairs related to the quantum affine algebra U_q(sl₂), Electron. J. Linear Algebra 13 (2005), 1-9 pdf
• MR2006a:17017 Liangyun Chen, Daoji Meng, and Bin Ren: On quasi-toral restricted Lie algebras, Chin. Ann. Math. Ser. B 26 (2005), no. 2, 207-218 pdf
• MR2005g:17039 J. R. J. Groves and D. H. Kochloukova: Homological finiteness properties of Lie algebras, J. Algebra 279 (2004), no. 2, 840-849 pdf
• MR2004i:16027 T. Wakamatsu: On graded Frobenius algebras, J. Algebra 267 (2003), no. 2, 377-395 pdf
• MR2004f:17014 C. Stroppel: Homomorphisms and extensions of principal series representations, J. Lie Theory 13 (2003), no. 1, 193-212 pdf
• MR2003e:17030 L. Cagliero and P. Tirao: The adjoint homology of the free 2-step nilpotent Lie algebra, Quart. J. Math. Oxford 53 (2002), no. 2, 125-145
• MR2002k:17021 S. Skryabin: On the automorphism group schemes of Lie algebras of Witt type, Comm. Algebra 29 (2001), no. 9, 4047-4077
• MR2001j:17039 R. Farnsteiner: On Auslander-Reiten quivers of enveloping algebras of restricted Lie algebras, Math. Nachr. 202 (1999), 43-66
• MR2001j:16024 L. Kadison: New Examples of Frobenius Extensions, University Lecture Series 14, Amer. Math. Soc., Providence, RI, 1999, x+84 pp.
• MR2001i:17029 I. Penkov and V. Serganova: Weight representations of the polynomial Cartan type Lie algebras W_n and S_n, Math. Res. Lett. 6 (1999), no. 3-4, 397-416
• MR2000i:17019 P. Caldero: On the Gelfand-Kirillov conjecture for quantum algebras, Proc. Amer. Math. Soc. 128 (2000), no. 4, 943-951
• MR99m:17025 Y. K. Kim, K. H. So, G. S. Seo, D. Y. Park, and S. H. Choi: Some remarks on four kinds of points associated to Lie algebras, Honam Math. J. 20 (1998), no. 1, 31-43
• MR99m:17013 R. Farnsteiner: Representations of nilpotent Lie algebras, Arch. Math. (Basel) 72 (1999), no. 1, 28-39
• MR99k:17012 Linsheng Zhu: The classification and realization of complete Lie algebras with commutative nilpotent radicals, Northeast. Math. J. 14 (1998), no. 1, 34-40
• MR99j:17008 Zongzhu Lin and D. K. Nakano: Good filtrations for representations of Lie algebras of Cartan type, J. Pure Appl. Algebra 127 (1998), no. 3, 231-256
• MR98m:17022 M. I. Gekhtman and A. Stolin: Orbits of the coadjoint representation and Yang-Baxter equation, in: Proceedings of the First International Tainan-Moscow Algebra Workshop, Tainan, Taiwan, Republic of China, July 23 - August 22, 1994 (eds. Y. Fong, U. Knauer, and A. V. Mikhalev), Walter de Gruyter, Berlin/New York, 1996, pp. 207-223
• MR98k:17015 V. Chari and A. Pressley: Factorization of representations of quantum affine algebras, in: Modular Interfaces: Modular Lie Algebras, Quantum Groups, and Lie Superalgebras, A Conference in Honor of Richard E. Block on the Occasion of His Retirement, Riverside, CA, February 18 - 20, 1995 (eds. V. Chari and I. B. Penkov), AMS/IP Stud. Adv. Math. 4, Amer. Math. Soc., Providence, RI, 1997, pp. 33-40
• MR98d:17029 Y. K. Kim, K. H. So, G. S. Seo, D. Y. Park, and S. H. Choi: On subregular points for some cases of Lie algebra, Honam Math. J. 19 (1997), no. 1, 21-27
• MR98c:16050 C. Frønsdal: Generalization and exact deformations of quantum groups, Publ. Res. Inst. Math. Sci. 33 (1997), no. 1, 91-149
• MR97m:17033 M. Rainer and H.-J. Schmidt: The natural classification of real Lie algebras, in: Differential Geometry and Applications, Proceedings of the 6th International Conference, Brno, Czech Republic, August 28 - September 1, 1995 (eds. J. Janyska et al.), Masaryk Univ., Brno, 1996, pp. 73-79
• MR97m:16034 Ji Wen Zeng: Some results on the Cartan matrix of a Frobenius algebra, Comm. Algebra 24 (1996), no. 14, 4385-4396
• MR97g:17003 G. Benkart: Commuting actions - a tale of two groups, in: Lie Algebras and Their Representations, Seoul, 1995 (eds. S.-J. Kang, M.-H. Kim, and I. Lee), Contemp. Math. 194, Amer. Math. Soc., Providence, RI, 1996, pp. 1-46
• MR97c:17028 R. Farnsteiner: Note on Frobenius extensions and restricted Lie superalgebras, J. Pure Appl. Algebra 108 (1996), no. 3, 241-256
• MR97c:17018 V. G. Gueorguiev, A. I. Georgieva, P. P. Raychev, and R. P. Roussev: q-Analog of A_m-1+A_n-1\subseteq A_mn-1, Internat. J. Theoret. Phys. 34 (1995), no. 11, 2195-2204
• MR96e:17030 M. S. Dijkhuizen: The double covering of the quantum group SO_q(3), Rend. Circ. Mat. Palermo (2), Suppl. No. 37 (1994), 47-57
• MR96b:17001 D. Burde: Left-Symmetric Algebras and Left-Symmetric Structures on Lie Algebras (in German) [Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn, 1992], Bonner Mathematische Schriften 244, Mathematisches Institut, Universität Bonn, 1993, v+65 pp.
• MR95f:17012 A. Chakrabarti: SO(5)_q and contraction: Chevalley basis representations for q-generic and root of unity, J. Math. Phys. 35 (1994), no. 8, 4247-4267
• MR95e:17001 L. A. Takhtajan: Higher order analog of Chevalley-Eilenberg complex and deformation theory of n-gebras, St. Petersburg Math. J. 6 (1995), no. 2, 429-438
• MR95c:17021 H. H. Andersen: Finite-dimensional representations of quantum groups, in: Algebraic Groups and Their Generalizations: Quantum and Infinite-Dimensional Methods, Summer Research Institute on algebraic groups and their generalizations, July 6 - 26, 1991, Pennsylvania State University, University Park, PA, 1991 (eds. W. J. Haboush and B. Parshall), Proc. Sympos. Pure Math. 56, Part 2, Amer. Math. Soc., Providence, RI, 1994, pp. 1-18
• MR95a:16022 R. Schulz: A nonprojective module without self-extensions, Arch. Math. (Basel) 62 (1994), no. 6, 497-500
• MR94k:17023 T. J. Hodges and T. Levasseur: Primitive ideals of C_q[SL(3)], Comm. Math. Phys. 156 (1993), no. 3, 581-605
• MR94k:17010 A. J. Coleman and V. M. Futorny: Stratified L-modules, J. Algebra 163 (1994), no. 1, 219-234
• MR94h:17009 R. Carles: Sur la cohomologie d'une nouvelle classe d'algèbres de Lie qui généralisent les sous-algèbres de Borel, J. Algebra 154 (1993), no. 2, 310-334
• MR93k:81102 P. P. Martin and D. S. McAnally: On commutants, dual pairs and nonsemisimple algebras from statistical mechanics, in: Infinite Analysis, Part A, B, Kyoto, 1991 (eds. M. Jimbo et al.), Adv. Ser. Math. Phys. 16, World Sci. Publishing, River Edge, NJ, 1992, pp. 675-705
• MR93k:17043 A. Fialowski: On the cohomology H^*(L_k,L_s), Studia Sci. Math. Hungar. 27 (1992), no. 1-2, 189-200
• MR93k:17031 L. I. Korogodsky and L. L. Vaksman: Quantum G-spaces and Heisenberg algebra, in: Quantum Groups, Proc. Workshops, Euler Int. Math. Inst. Leningrad, USSR, 1990 (ed. P. P. Kulish), Lecture Notes in Mathematics 1510, Springer, Berlin, 1992, pp. 56-66
• MR93j:17022 E. Celeghini, R. Giachetti, E. Sorace, and M. Tarlini: Contractions of quantum groups, in: Quantum Groups, Proc. Workshops, Euler Int. Math. Inst. Leningrad, USSR, 1990 (ed. P. P. Kulish), Lecture Notes in Mathematics 1510, Springer, Berlin, 1992, pp. 221-244

Zentralblatt für Mathematik

• Zbl. pre05931049 B. Feigin, M. Jimbo, and T. Miwa: Gelfand-Zetlin basis, Whittaker vectors and a bosonic formula for the sl_n+1 principal subspace, Publ. Res. Inst. Math. Sci. 47 (2011), no. 2, 535-551 pdf
• Zbl. pre05909416 M. Karpicz: On selfinjective algebras without short cycles in the component quiver, Colloq. Math. 123 (2011), no. 2, 219-232 pdf
• Zbl. pre05882435 C. M. Drupieski: Representations and cohomology for Frobenius-Lusztig kernels, J. Pure Appl. Algebra 215 (2011), no. 6, 1473-1491 pdf
• Zbl. pre05692519 M. Yakimov: A classification of H-primes of quantum partial flag varieties, Proc. Amer. Math. Soc. 138 (2010), no. 4, 1249-1261 pdf
• Zbl. pre05378819 A. Premet and H. Strade: Simple Lie algebras of small characteristic VI: Completion of the classification, J. Algebra 320 (2008), no. 9, 3559-3604 pdf
• Zbl. 1235.17005 Yu-Feng Yao and Bin Shu: Irreducible representations of the Hamiltonian algebra H(2r;n), J. Austr. Math. Soc. 90 (2011), no. 3, 403-430 pdf
• Zbl. 1235.16030 Y. Wang and L.Y. Zhang: The structure theorem for comodule algebras over Hopf algebroids, Acta Math. Hung. 132 (2011), no. 1-2, 49-62 pdf
• Zbl. 1229.17025 V. M. Petrogradsky, I. P. Shestakov, and E. Zelmanov: Nil graded self-similar algebras, Groups Geom. Dyn. 4 (2010), no. 4, 873-900 pdf
• Zbl. 1229.17024 B. Eick: Some new simple Lie algebras in characteristic 2, J. Symb. Comput. 45 (2010), no. 9, 943-951 pdf
• Zbl. 1229.17020 M. Yakimov: Invariant prime ideals in quantizations of nilpotent Lie algebras, Proc. London Math. Soc. (3) 101 (2010), no. 2, 454-476 pdf
• Zbl. 1216.16019 M. Crupi and G. Restuccia: Coactions of Hopf algebras on algebras in positive characteristic, Boll. Unione Mat. Ital. (9) 3 (2010), no. 2, 349-361 pdf
• Zbl. 1211.17007 D. Jakelic and A. Moura: Finite-dimensional representations of hyper loop algebras over non-algebraically closed fields, Algebr. Represent. Theory 13 (2010), no. 3, 271-301 pdf
• Zbl. 1198.20036 I. Heckenberger and H. Yamane: A generalization of Coxeter groups, root systems, and Matsumoto's theorem, Math. Z. 259 (2008), no. 2, 255-276 pdf
• Zbl. 1197.17007 R. Bezrukavnikov and A. Lachowska: The small quantum group and the Springer resolution, in: Quantum Groups, Proceedings of a Conference in Memory of Joseph Donin, Haifa, Israel, July 5 - 12, 2004 (eds. P. Etingof, S. Gelaki, and S. Shnider), Israel Mathematical Conference Proceedings, Contemp. Math., vol. 433, Amer. Math. Soc., Providence, RI, 2007, pp. 89-101 pdf
• Zbl. 1195.16016 M. Holloway: A remark on rank varieties for a class of local algebras, Arch. Math. (Basel) 90 (2008), no. 4, 311-316 pdf
• Zbl. 1190.17011 Wenjuan Xie and Yongzheng Zhang: Second cohomology of the modular Lie superalgebra of Cartan type K, Algebra Colloq. 16 (2009), no. 2, 309-324 pdf
• Zbl. 1190.17001 H. Strade: Simple Lie algebras over fields of positive characteristic II: Classifying the absolute toral rank two case, de Gruyter Expositions in Mathematics, vol. 42, Walter de Gruyter, Berlin, 2009 pdf
• Zbl. 1189.17018 D. A. Towers: On semi-modular subalgebras of Lie algebras over fields of arbitrary characteristic, Asian-Eur. J. Math. 1 (2008), no. 2, 283-294 pdf
• Zbl. 1183.17007 Xin Tang: Construct irreducible representations of quantum groups U_q (f_m(K)), Front. Math. China 3 (2008), no. 3, 371-397 pdf
• Zbl. 1182.20039 J. F. Carlson, Z. Lin, and D. K. Nakano: Support varieties for modules over Chevalley groups and classical Lie algebras, Trans. Amer. Math. Soc. 360 (2008), no. 4, 1879-1906 pdf
• Zbl. 1180.17009 G. Götz, T. Quella, and V. Schomerus: Representation theory of sl(2|1), J. Algebra 312 (2007), no. 2, 829-848 pdf
• Zbl. 1173.17015 D. Jakelic: On crystal bases and Enright's completions, J. Algebra 312 (2007), no. 1, 111-131 pdf
• Zbl. 1172.17010 I. Cunha and A. Elduque: An extended Freudenthal magic square in characteristic 3, J. Algebra 317 (2007), no. 2, 471-509 pdf
• Zbl. 1162.46001 T. Timmermann: An invitation to quantum groups and duality. From Hopf algebras to multiplicative unitaries and beyond, EMS Textbooks in Mathematics, European Mathematical Society, Zürich, 2008 pdf
• Zbl. 1160.17009 D. Gaitsgory: Twisted Whittaker model and factorizable sheaves, Sel. Math. (New Ser.) 13 (2008), no. 4, 617-659 pdf
• Zbl. 1146.16022 L. Ben Yakoub and A. Louly: Dérivations de l'anneau des coordonnées de l'espace quantique symplectique, Comm. Algebra 34 (2006), no. 6, 2295-2302 pdf
• Zbl. 1139.17007 A. Premet and H. Strade: Simple Lie algebras of small characteristic V: The non-Melikian case, J. Algebra 314 (2007), no. 2, 664-692 pdf
• Zbl. 1137.17018 Wende Liu and Yongzheng Zhang: A family of transitive modular Lie superalgebras with depth one, Sci. China, Ser. A: Math. 50 (2007), no. 10, 1451-1466 pdf
• Zbl. 1137.17009 Bin Shu: Representations of finite Lie algebras and geometry of reductive Lie algebras, in: Proceedings of the International Conference on Complex Geometry and Related Fields, Shanghai, China, 2004 (eds. Zhijie Chen, Sheng-Li Tan, Jianpan Wang, and Stephen S.-T. Yau), AMS/IP Studies in Advanced Mathematics, vol. 39, American Mathematical Society, Providence, RI & International Press, Somerville, MA, 2007, pp. 277-287 pdf
• Zbl. 1135.17011 R. Bezrukavnikov: Noncommutative counterparts of the Springer resolution, in: Proceedings of the International Congress of Mathematicians, Madrid, Spain, August 22 - 30, 2006, Volume II: Invited Lectures (eds. M. Sanz-Solé, J. Soria, J. L. Varona, and J. Verdera), European Mathematical Society, Zürich, 2006, pp. 1119-1144 pdf
• Zbl. 1135.17006 Qiang Fu: Little q-Schur algebras at even roots of unity, J. Algebra 311 (2007), no. 1, 202-215 pdf
• Zbl. 1125.17003 A. Savage: The tensor product of representations of U_q(sl₂) via quivers, Adv. Math. 177 (2003), no. 2, 297-340 pdf
• Zbl. 1123.17002 R. Bezrukavnikov: Cohomology of tilting modules over quantum groups and t-structures on derived categories of coherent sheaves, Invent. Math. 166 (2006), no. 2, 327-357 pdf
• Zbl. 1120.17007 J. Brundan and S. M. Goodwin: Good grading polytopes, Proc. London Math. Soc. (3) 94 (2007), no. 1, 155-180 pdf
• Zbl. 1112.17019 Bin Shu and Zhihong Jiang: On Cartan invariants and blocks of Zassenhaus algebras, Comm. Algebra 33 (2005), no. 10, 3619-3630 pdf
• Zbl. 1109.20039 R. Farnsteiner: Auslander-Reiten components for G₁T-modules, J. Algebra Appl. 4 (2005), no. 6, 739-759 pdf
• Zbl. 1106.17023 H. Melikyan: Maximal subalgebras of simple modular Lie algebras, J. Algebra 284 (2005), no. 2, 824-856 pdf
• Zbl. 1106.17020 Weiqiang Lin and Shaobin Tan: Representations of the Lie algebra of derivations for quantum torus, J. Algebra 275 (2004), no. 1, 250-274 pdf
• Zbl. 1106.17014 G. Benkart and P. Terwilliger: Irreducible modules for the quantum affine algebra U_q(sl₂) and its Borel subalgebra, J. Algebra 282 (2004), no. 1, 172-194 pdf
• Zbl. 1106.17004 V. Mazorchuk: Stratified algebras arising in Lie theory, in: Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry, Proceedings from the 10th International Conference on Algebras and Related Topics, Toronto, Canada, July 15 - August 10, 2002 (eds. V. Dlab and C. M. Ringel), Fields Inst. Commun. 40 (2004), Amer. Math. Soc., Providence, RI, pp. 245-260 pdf
• Zbl. 1104.17010 J. C. Jantzen: Representations of Lie algebras in positive characteristics, in: Representation Theory of Algebraic Groups and Quantum Groups, Sophia University, Tokyo, Japan, August 1 - 10, 2001 (eds. T. Shoji, M. Kashiwara, N. Kawanaka, G. Lusztig, and Ken-ichi Shinoda), Advanced Studies in Pure Mathematics, vol. 40, Mathematical Society of Japan, Tokyo, 2004, pp. 175-218 pdf
• Zbl. 1101.17011 Youjun Tan: Quantized GIM Lie algebras and their Lusztig symmetries, J. Algebra 289 (2005), no. 1, 214-276 pdf
• Zbl. 1099.17009 Cheol Kim, Seok-Hyun Koh, and Yang-Gon Kim: Some study of Lee's basis and Park's Lie algebra, in: Pragmatic Algebra (eds. Ki-Bong Nam, Seul Hee Choi, Bennette R. Harris, Sapna Jain, YangGon Kim, and Kar Ping Shum), SAS International Publications, Delhi, 2006, pp. 21-38 pdf
• Zbl. 1096.17004 T. B. Gregory and M. I. Kuznetsov: On depth-three graded Lie algebras of characteristic three with classical reductive null component, Comm. Algebra 32 (2004), no. 9, 3339-3371 pdf
• Zbl. 1085.17010 B. Leclerc, M. Nazarov, and J.-Y. Thibon: Induced representations of affine Hecke algebras and canonical bases of quantum groups, in: Studies in Memory of Issai Schur (eds. A. Joseph, A. Melnikov, and R. Rentschler), Prog. Math., vol. 210, Birkhäuser, Basel, 2003, pp. 115-153 pdf
• Zbl. 1085.17003 S. Mattarei: Artin-Hasse exponentials of derivations, J. Algebra 294 (2005), no. 1, 1-18 pdf
• Zbl. 1079.15007 I. Gelfand, S. Gelfand, V. Retakh, and R. L. Wilson: Quasideterminants, Adv. Math. 193 (2005), no. 1, 56-141 pdf
• Zbl. 1074.17005 H. Strade: Simple Lie algebras over fields of positive characteristic I: Structure theory, de Gruyter Expositions in Mathematics, vol. 38, Walter de Gruyter, Berlin/New York, 2004 pdf
• Zbl. 1061.17016 B. Enriquez and G. Halbout: Poisson algebras associated to quasi-Hopf algebras, Adv. Math. 186 (2004), no. 2, 363-395 pdf
• Zbl. 1061.17013 S. Arkhipov, R. Bezrukavnikov, and V. Ginzburg: Quantum groups, the loop Grassmannian, and the Springer resolution, J. Amer. Math. Soc. 17 (2004), no. 3, 595-678 pdf
• Zbl. 1054.17015 S. Skryabin: Representations of the Poisson algebra in prime characteristic, Math. Z. 243 (2003), no. 3, 563-597 pdf
• Zbl. 1049.17017 Ki-Bong Nam, S. H. Wang, and Y. G. Kim: Linear algebra, Lie algebra and their applications to P versus NP, J. Appl. Algebra Discrete Struct. 2 (2004), no. 1, 1-26 pdf
• Zbl. 1049.17011 A. Lachowska: On the center of the small quantum group, J. Algebra 262 (2003), no. 2, 313-331 pdf
• Zbl. 1047.17009 Bin Shu: Representations of Cartan type Lie algebras in characteristic p, J. Algebra 256 (2002), no. 1, 7-27 pdf
• Zbl. 1046.17007 Zongzhu Lin: Lusztig's geometric approach to Hall algebras, in: Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry, Proceedings from the 10th International Conference on Algebras and Related Topics, Toronto, Canada, July 15 - August 10, 2002 (eds. V. Dlab and C. M. Ringel), Fields Inst. Commun. 40 (2004), Amer. Math. Soc., Providence, RI, pp. 349-364 pdf
• Zbl. 1044.16001 S. Catoiu, W. Chin, and L. Krop: Two-sided ideals of some finite-dimensional algebras, in: Groups, Rings, Lie and Hopf Algebras, based on the International Workshop, St. John's, Canada, May 28 - June 1, 2001, Kluwer Academic Publishers, Math. Appl. 555 (2003), Dordrecht, pp. 25-37 pdf
• Zbl. 1043.17008 A. Joseph and D. Todoric: On the quantum KPRV determinants for semisimple and affine Lie algebras, Algebr. Represent. Theory 5 (2002), no. 1, 57-99 pdf
• Zbl. 1038.17008 M. Reineke: Feigin's map and monomial bases for quantized enveloping algebras, Math. Z. 237 (2001), no. 3, 639-667 pdf
• Zbl. 1037.17019 S. Siciliano: On the Cartan subalgebras of Lie algebras over small fields, J. Lie Theory 13 (2003), no. 2, 511-518 pdf
• Zbl. 1035.17028 G. B. Seligman: On idempotents in reduced enveloping algebras, Trans. Amer. Math. Soc. 355 (2003), no. 8, 3291-3300 pdf
• Zbl. 1034.17009 E. Frenkel and E. Mukhin: The Hopf algebra Rep U_qgl_\infty , Sel. Math. (New Ser.) 8 (2002), no. 4, 537-635 pdf
• Zbl. 1032.17032 Woo Jeon: The special algebras of Cartan type in characteristic 0, Comm. Algebra 29 (2001), no. 6, 2319-2332
• Zbl. 1024.17015 Nanhua Xi: A commutation formula for root vectors in quantized enveloping algebras, Pacific J. Math. 189 (1999), no. 1, 179-199 pdf
• Zbl. 1017.16033 M. Ronco: Eulerian idempotents and Milnor-Moore theorem for certain non-commutative Hopf algebras, J. Algebra 254 (2002), no. 1, 152-172
• Zbl. 1017.16008 Bangming Deng and Jie Xiao: Ringel-Hall algebras and Lusztig's symmetries, J. Algebra 255 (2002), no. 2, 357-372
• Zbl. 1016.17016 Youjun Tan: The q-analogue of bosons and Hall algebras, Comm. Algebra 30 (2002), no. 9, 4335-4347
• Zbl. 1015.17018 Chaowen Zhang: On simple modules for the restricted Lie algebras of Cartan type, Comm. Algebra 30 (2002), no. 11, 5393-5429
• Zbl. 1013.17503 V. Chari and A. Pressley: Factorizations of representations of quantum affine algebras, in: Modular Interfaces: Modular Lie Algebras, Quantum Groups, and Lie Superalgebras, A Conference in Honor of Richard E. Block on the Occasion of His Retirement, Riverside, CA, February 18 - 20, 1995 (eds. V. Chari and I. B. Penkov), AMS/IP Stud. Adv. Math. 4, Amer. Math. Soc., Providence, RI, 1997, pp. 33-40
• Zbl. 1013.17018 M. Benayed: Matched pairs and extensions of Lie bialgebras, Extr. Math. 13 (1998), no. 3, 255-261
• Zbl. 1010.16011 Bangming Deng and Jie Xiao: On double Ringel-Hall algebras, J. Algebra 251 (2002), no. 1, 110-149
• Zbl. 1010.16006 S. König and V. Mazorchuk: An equivalence of two categories of sl(n,C)-modules, Algebr. Represent. Theory 5 (2002), no. 3, 319-329
• Zbl. 1009.16017 R. Farnsteiner and G. Röhrle: Almost split sequences of Verma modules, Math. Ann. 322 (2002), no. 4, 701-743
• Zbl. 1007.17015 Bin Shu: Quasi p-mappings and representations of modular Lie algebras, in: Representations and Quantizations, Proceedings of the International Conference on Representation Theory, Shanghai, China, June 29 - July 3, 1998 (eds. Jianpan Wang et al.), China Higher Education Press, Beijing, 2000, pp. 375-402
• Zbl. 1007.17013 Zhongzhu Lin: Radical structures of highest weight modules arising from quantum groups at roots of 1, in: Representations and Quantizations, Proceedings of the International Conference on Representation Theory, Shanghai, China, June 29 - July 3, 1998 (eds. Jianpan Wang et al.), China Higher Education Press, Beijing, 2000, pp. 327-340
• Zbl. 1007.17012 I. Damiani: The R-matrix for (twisted) affine quantum algebras, in: Representations and Quantizations, Proceedings of the International Conference on Representation Theory, Shanghai, China, June 29 - July 3, 1998 (eds. Jianpan Wang et al.), China Higher Education Press, Beijing, 2000, pp. 89-144
• Zbl. 1007.17009 H. H. Andersen and G. Papadopoulo: Liftings of quantum tilting modules, in: Representations and Quantizations, Proceedings of the International Conference on Representation Theory, Shanghai, China, June 29 - July 3, 1998 (eds. Jianpan Wang et al.), China Higher Education Press, Beijing, 2000, pp. 1-8
• Zbl. 1005.17015 R. R. Holmes: Simple modules with character height at most one for the restricted Witt algebras, J. Algebra 237 (2001), no. 2, 446-469
• Zbl. 0998.17018 V. Tarasov and A. Varchenko: Small elliptic quantum group e_\tau,\gamma (sl_N), Moscow Math. J. 1 (2001), no. 2, 243-286
• Zbl. 0998.17013 B. Sirola: On supports and associated primes of modules over the enveloping algebras of nilpotent Lie algebras, Trans. Amer. Math. Soc. 353 (2001), no. 6, 2131-2170
• Zbl. 0998.17008 D. I. Panyushev: Inductive formulas for the index of seaweed Lie algebras, Moscow Math. J. 1 (2001), no. 2, 221-241
• Zbl. 0998.17005 G. Lusztig: Representation theory in characteristic p, in: Papers from the Taniguchi Conference on Mathematics, Nara, Japan, December 15 - 20, 1998 (eds. Masaki Maruyama et al.), Adv. Stud. Pure Math. 31, Math. Soc. Japan, Tokyo, pp. 167-178
• Zbl. 0998.17004 P. Fiebig: Zentren deformierter Darstellungskategorien und Verschiebungsfunktoren (in German), Dissertation, Universität Freiburg i. Br., Germany, 2001
• Zbl. 0997.17011 D. Rumynin: Symmetric identities and restricted Lie algebras, Arch. Math. (Basel) 77 (2001), no. 6, 484-487
• Zbl. 0997.17007 A. S. Dzhumadil'daev and S. S. Ibraev: Nonsplit extensions of modular Lie algebras of rank 2, Homology Homotopy Appl. 4 (2002), no. 2, 143-163
• Zbl. 0991.17006 A. Joseph, G. Letzter, and S. Zelikson: On the Brylinski-Kostant filtration, J. Amer. Math. Soc. 13 (2000), no. 4, 945-970
• Zbl. 0990.17008 O. Mathieu: Classification des algèbres de Lie simples, in: Séminaire Bourbaki, Exposés 850-864, 1998/1999, Astérisque 266, Soc. Math. France, Paris, 2000, pp. 245-286
• Zbl. 0987.17005 D. K. Nakano and R. D. Pollack: Blocks of finite type in reduced enveloping algebras for classical Lie algebras, J. London Math. Soc. (2) 61 (2000), no. 2, 374-394
• Zbl. 0985.16028 Dongming Cheng: Restricted representations of U_q(sl₂), Algebra Colloq. 7 (2000), no. 4, 451-465
• Zbl. 0984.16037 B. Scharfschwerdt: The Nichols Zoeller theorem for Hopf algebras in the category of Yetter Drinfeld modules, Comm. Algebra 29 (2001), no. 6, 2481-2487
• Zbl. 0984.16013 M. Linckelmann: On the Hochschild cohomology of commutative Hopf algebras, Arch. Math. (Basel) 75 (2000), no. 6, 410-412
• Zbl. 0982.17010 A. Premet and H. Strade: Simple Lie algebras of small characteristic III: The toral rank 2 case, J. Algebra 242 (2001), no. 1, 236-337
• Zbl. 0981.17007 R. Farnsteiner: On Auslander-Reiten quivers of enveloping algebras of restricted Lie algebras, Math. Nachr. 202 (1999), 43-66
• Zbl. 0976.17011 A. I. Kostrikin and A. S. Dzhumadil'daev: Modular Lie algebras: New trends, in: Algebra, Proceedings of the International Algebraic Conference on the Occasion of the 90th Birthday of A. G. Kurosh, Moscow, Russia, May 25 - 30, 1998 (ed. Yu. Bahturin), Walter de Gruyter, Berlin, 2000, pp. 181-203
• Zbl. 0976.17004 J. C. Jantzen: Modular representations of reductive Lie algebras, J. Pure Appl. Algebra 152 (2000), no. 1-3, 133-185
• Zbl. 0972.17013 R. Kurdiani: Universal central extensions of restricted Lie algebras, Proc. A. Razmadze Math. Inst. 121 (1999), 71-87
• Zbl. 0964.17015 R. Farnsteiner: On the distribution of AR-components of restricted Lie algebras, in: Trends in the Representation Theory of Finite Dimensional Algebras, Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference, Seattle, WA, July 20 - 24, 1997 (eds. E. L. Green and B. Zimmermann-Huisgen), Contemp. Math. 229, Amer. Math. Soc., Providence, RI, 1998, pp. 139-157
• Zbl. 0962.17013 J. E. Humphreys: Modular representations of simple Lie algebras, Bull. Amer. Math. Soc. (N.S.) 35 (1998), no. 2, 105-122
• Zbl. 0940.16020 Y. Sommerhäuser: On Kaplansky's fifth conjecture, J. Algebra 204 (1998), no. 1, 202-224
• Zbl. 0940.16018 S. Majid: Quantum double for quasi-Hopf algebras, Lett. Math. Phys. 45 (1998), no. 1, 1-9
• Zbl. 0919.16029 J. A. Green: Shuffle Algebras, Lie Algebras and Quantum Groups, Textos de Matemática, Série B, vol. 9, Departamento de Matemática, Universiade de Coimbra, Coimbra, 1997, 28 p.
• Zbl. 0913.16019 D. E. Radford: Generalized double crossproducts associated with the quantized enveloping algebra, Comm. Algebra 26 (1998), no. 1, 241-291
• Zbl. 0901.20029 S. Oehms: Zelluläre Basen von symplektischen q-Schur-Algebren, Sitz.ber. Math.-Nat. Kl. Akad. Gem.nütz Wiss. Erfurt 7 (1996), 187-196
• Zbl. 0901.17004 A. Ram: Quantum groups: A survey of definitions, motivations, and results, in: Geometric Analysis and Lie Theory in Mathematics and Physics (ed. A. L. Carey), Austr. Math. Soc. Lect. Ser. 11, Cambridge University Press, Cambridge, 1998, pp. 20-104
• Zbl. 0898.16025 S. Gelaki: Quantum groups of dimension pq², Israel J. Math. 102 (1997), 227-267
• Zbl. 0897.17013 M. Gerstenhaber and A. Giaquinto: Boundary solutions of the classical Yang-Baxter equation, Lett. Math. Phys. 40 (1997), no. 4, 337-353
• Zbl. 0890.16020 S. Caenepeel, G. Militaru, and Shenglin Zhu: Doi-Hopf modules, Yetter-Drinfel'd modules and Frobenius type properties, Trans. Amer. Math. Soc. 349 (1997), no. 11, 4311-4342
• Zbl. 0886.17015 H. P. Jakobson and Hechun Zhang: The center of the quantized matrix algebra, J. Algebra 196 (1997), no. 2, 458-474
• Zbl. 0886.16019 K. I. Beidar, Y. Fong, and A. Stolin: On Frobenius algebras and the quantum Yang-Baxter equation, Trans. Amer. Math. Soc. 349 (1997), no. 9, 3823-3836
• Zbl. 0886.16018 H. C. Pop: Heisenberg algebras and coefficient rings, Comm. Algebra 25 (1997), no. 9, 2931-2937
• Zbl. 0886.16009 J. A. Guccione and J. J. Guccione: Hochschild and cyclic homology of Ore extensions and some examples of quantum algebras, K-Theory 12 (1997), no. 3, 259-276
• Zbl. 0884.17007 K. Beidar, Y. Fong, and A. Stolin: Symmetric algebras and Yang-Baxter equation, in: Proceedings of the 16th Winter School on Geometry and Physics, Srní, Czech Republic, January 13 - 20, 1996 (ed. Jan Slovák), Suppl. Rend. Circ. Mat. Palermao, II. Ser., 46 (1997), 15-28
• Zbl. 0883.17014 R. Marsh: Canonical bases for the miniscule modules of the quantized enveloping algebras of types B and D, Comm. Algebra 25 (1997), no. 5, 1387-1411
• Zbl. 0883.17013 I. B. Frenkel and M. G. Khovanov: Canonical bases in tensor products and graphical calculus for U_q(sl₂), Duke Math. J. 87 (1997), no. 3, 409-480
• Zbl. 0883.16029 H. C. Pop: Sur les matrices quantiques, C. R. Acad. Sci. Paris, Sér. I, 324 (1997), no. 7, 753-757
• Zbl. 0883.16028 V. Ostrik: Decomposition of the adjoint representation of the small quantum group sl₂, Comm. Math. Phys. 186 (1997), no. 2, 253-264
• Zbl. 0881.16024 Diming Lu: Dual aspects of the quasitriangular bialgebras and the braided bialgebras, Chin. Ann. Math., Ser. B, 18 (1997), no. 3, 331-336
• Zbl. 0881.16008 Min Ouyang: A note on Frobenius algebras, Comm. Algebra 25 (1997), no. 8, 2557-2567
• Zbl. 0880.16018 K. I. Beidar, Y. Fong, and A. Stolin: On antipodes and integrals in Hopf algebras over rings and the quantum Yang-Baxter equation, J. Algebra 194 (1997), no. 1, 36-52
• Zbl. 0879.17006 M. I. Gekhtman and A. Stolin: Orbits of the coadjoint representation and Yang-Baxter equation, in: Proceedings of the First International Tainan-Moscow Algebra Workshop, Tainan, Taiwan, Republic of China, July 23 - August 22, 1994 (eds. Y. Fong, U. Knauer, and A. V. Mikhalev), Walter de Gruyter, Berlin/New York, 1996, pp. 207-223
• Zbl. 0877.16013 Shilin Yang and Jianai Chen: Hopf actions on factor rings and induced Hopf actions, Comm. Algebra 25 (1997), no. 4, 1103-1110
• Zbl. 0874.17012 R. Marsh: Canonical bases for fundamental modules of quantized enveloping algebras of types A, Comm. Algebra 25 (1997), no. 5, 1365-1386
• Zbl. 0874.17011 R. Marsh: Algorithms to obtain the canonical basis in some fundamental modules of quantum groups, J. Algebra 186 (1996), no. 3, 831-860
• Zbl. 0874.17010 N. Cantarini: Representations of sl_q(3) at the roots of unity, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX Ser., Rend. Lincei, Mat. Appl. 7 (1996), no. 4, 201-212
• Zbl. 0873.16005 J. H. Palmieri: A note on the cohomology of finite-dimensional cocommutative Hopf algebras, J. Algebra 188 (1997), no. 1, 203-215

Book Reviews

• James R. Brannan and William E. Boyce: Differential Equations: An Introduction to Modern Methods and Applications (2nd Edition), Wiley, 2010 (Chapters 1 and 2)
• Raymond A. Barnett, Michael R. Ziegler, and Karl E. Byleen: Precalculus - Graphs & Models, Second edition, McGraw-Hill, 2005 (Chapters 2, 4, and 7)
• Jon Rogawski: Calculus, W. H. Freeman Publishers, 2007 (Chapter 2)
• Robert T. Smith and Roland B. Minton: Calculus - Concepts & Connections, McGraw-Hill, 2006 (Chapters 1, 2, and 5)
• Richard Bronson: Linear Algebra - An Introduction, Academic Press, 1995