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Universal enveloping algebra
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21	arXiv:math/0104151v1 [math.RT] 13 Apr[removed]CLUSTER ALGEBRAS I: FOUNDATIONS SERGEY FOMIN AND ANDREI ZELEVINSKY To the memory of Sergei Kerov Abstract. In an attempt to create an algebraic framework for dual canonical Add to Reading List Source URL: arxiv.org Language: English - Date: 2008-02-01 02:27:50 Polynomials Commutative algebra Hopf algebras Invariant theory Cluster algebra Polynomial ring Universal enveloping algebra Homogeneous polynomial Laurent polynomial Abstract algebra Algebra Ring theory
22	The fake monster formal group. 27 May, 31 Dec 1998 Duke Math J. Vol 100 No[removed]), [removed]Richard E. Borcherds, ∗ Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:06:33 Representation theory Ring theory Lie algebras Hopf algebras Universal enveloping algebra Coalgebra Formal group Associative algebra Algebra over a field Abstract algebra Algebra Algebras
23	Crystals and Multiple Dirichlet Series Brubaker, Bump, Chinta, Friedberg, Gunnells Work In Progress Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:05 Lie algebras Weyl character formula Littelmann path model Quantum group Weight Symbol Hopf algebra Universal enveloping algebra Restricted representation Abstract algebra Algebra Representation theory
24	Vertex algebras. 10 June 1997, corrected 19 June, 26 June, 26 September. Topological field theory, primitive forms and related topics (Kyoto, 1996), 35–77, Progr. Math., 160, Birkh¨ Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:10:46 Monoidal categories Lie algebras Ring theory Hopf algebra Associative algebra Formal group Universal enveloping algebra Coalgebra Vertex operator algebra Abstract algebra Algebras Representation theory
25	Vertex algebras, Kac-Moody algebras, and the Monster. Proc Natl. Acad. Sci. USA Vol. 83, pp[removed]Richard E. Borcherds, Trinity College, Cambridge CB2 1TQ, England. Communicated by Walter Feit, December 13, 1985 ABST Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2002-09-30 14:04:36 Vertex operator algebra Virasoro algebra Kac–Moody algebra Monster Lie algebra Goddard–Thorn theorem Monster vertex algebra Universal enveloping algebra Weight Symmetric algebra Abstract algebra Algebra Lie algebras
26	What is a vertex algebra?. Arbeitstagung talk 1997 Richard E. Borcherds, ∗ D.P.M.M.S., 16 Mill Lane, Cambridge, CB2 1SB, England. [removed], http://www.dpmms.cam.ac.uk/˜reb The answer to the question in the Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:04:52 Algebras Lie algebras Representation theory Ring theory Algebraic structures Vertex operator algebra Associative algebra Hopf algebra Universal enveloping algebra Abstract algebra Algebra Mathematics
27	Abstract. The lecture notes contains an introduction to quantum groups, q-special functions and their interplay. After generalities on Hopf algebras, orthogonal polynomials and basic hypergeometric series we work out the Add to Reading List Source URL: www.numerical-yoga-guru-rupnathji.net46.net Language: English - Date: 2013-02-20 07:27:06 Representation theory Algebras Monoidal categories Quantum groups Lie algebra Associative algebra Tensor algebra Universal enveloping algebra Coalgebra Abstract algebra Mathematics Hopf algebras
28	Lecture III Five Lie Algebras Add to Reading List Source URL: www.aimath.org Language: English - Date: 2013-12-11 12:47:03 Free Lie algebra Poisson bracket Lie coalgebra Algebraic structure Weight Universal enveloping algebra Kac–Moody algebra Abstract algebra Algebra Lie algebras
29	BOOK REVIEWS 279 Add to Reading List Source URL: www.ams.org Language: English - Date: 2010-01-14 13:28:29 Lie algebras Representation theory Harmonic analysis Unitary representation C*-algebra Universal enveloping algebra Tempered representation Kazhdan–Lusztig polynomial Abstract algebra Algebra Lie groups
30	Conformai Field Theory and Cohomologies of the Lie Algebra of Holomorphic Vector Fields on a Complex Curve Add to Reading List Source URL: www.mathunion.org Language: English - Date: 2012-04-18 10:48:31 Lie group Universal enveloping algebra Virasoro algebra Lie superalgebra Kac–Moody algebra Differentiable manifold Lie algebroid Vertex operator algebra Abstract algebra Lie algebras Algebra