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Kac–Moody algebra
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21	Introduction to the monster Lie algebra. Groups, Combinatorics, and geometry, p. 99–107, edited by M. W. Liebeck and J. Saxl, L.M.S. lecture note series 165, C.U.P[removed]Richard E. Borcherds, I would like to thank J. Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:08:25 Monster Lie algebra Kac–Moody algebra Weyl character formula Monstrous moonshine Simple Lie group Vertex operator algebra En Representation theory E8 Abstract algebra Lie algebras Lie groups
22	A characterization of generalized Kac-Moody algebras. J. Algebra 174, [removed]). Richard E. Borcherds, D.P.M.M.S., 16 Mill Lane, Cambridge CB2 1SB, England. Generalized Kac-Moody algebras can be described in two w Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:06:55 Generalized Kac–Moody algebra Kac–Moody algebra Cartan subalgebra Weyl group Root system Vertex operator algebra Cartan matrix En Goddard–Thorn theorem Abstract algebra Lie algebras Algebra
23	Problems in moonshine. Richard E. Borcherds, ∗ Mathematics department, Evans Hall #3840, University of California at Berkeley, CA[removed]U. S. A. e-mail: [removed] www home page www.math.berkeley.edu/˜ Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2000-12-13 14:43:53 Moonshine theory Lie groups Modular forms Nonassociative algebra Monstrous moonshine Generalized Kac–Moody algebra Monster Lie algebra Monster vertex algebra Richard Borcherds Abstract algebra Algebra Lie algebras
24	Automorphic forms and Lie algebras. 30 Sept 1996 Richard E. Borcherds,∗ D.P.M.M.S., 16 Mill Lane, Cambridge, CB2 1SB, England. e-mail: [removed] home page: http://www.dpmms.cam.ac.uk/˜reb 0. Introduction. Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:05:02 Vertex operator algebra Monster Lie algebra Kac–Moody algebra II25 1 En Weyl character formula Leech lattice Weight E8 lattice Abstract algebra Algebra Lie algebras
25	Monstrous moonshine and monstrous Lie superalgebras. Invent. Math. 109, [removed]Richard E. Borcherds, Department of pure mathematics and mathematical statistics, 16 Mill Lane, Cambridge CB2 1SB, England. We prove Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:09:03 Monster Lie algebra Generalized Kac–Moody algebra Weyl character formula Kac–Moody algebra Monstrous moonshine Vertex operator algebra En Weight Monster vertex algebra Abstract algebra Lie algebras Algebra
26	Central extensions of generalized Kac-Moody algebras. J. Algebra Vol 140, No. 2, July 1991, 330–335. Richard E. Borcherds, D.P.M.M.S., Cambridge University, 16 Mill Lane, Cambridge, CB2 1SB, England. The main result of Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:05:13 Group theory Generalized Kac–Moody algebra Kac–Moody algebra Cartan subalgebra Monster Lie algebra Weyl character formula En Cartan matrix Weight Lie algebras Abstract algebra Algebra
27	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
28	Sporadic groups and string theory. First European Congress of Mathematics, Vol. I (Paris, 1992), 411–421, Progr. Math., 119, Birkh¨ auser, Basel, 1994. Richard E. Borcherds, DPMMS, 16 Mill Lane, Cambridge, CB2 1SB, En Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:05:50 Monster Lie algebra Weyl character formula Kac–Moody algebra Vertex operator algebra Virasoro algebra Representation theory Lie superalgebra Monstrous moonshine Exterior algebra Abstract algebra Lie algebras Algebra
29	What is moonshine? Proceedings of the International Congress of Mathematicians, Vol. I (Berlin, [removed]Doc. Math. 1998, Extra Vol. I, 607–615 Richard E. Borcherds, ∗ D.P.M.M.S., 16 Mill Lane, Cambridge, CB2 1SB, Engl Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:07:44 Lie groups Moonshine theory Conformal field theory Nonassociative algebra Monstrous moonshine Monster Lie algebra Kac–Moody algebra Vertex operator algebra Affine Lie algebra Abstract algebra Algebra Lie algebras
30	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