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Monster Lie algebra
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11	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
12	The moduli space of Enriques surfaces and the fake monster Lie superalgebra. 27 October 1994, corrected 27 January[removed]Topology vol. 35 no. 3, [removed], 1996. Richard E. Borcherds,∗ Mathematics department, Evans Hall Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:06:07 Moduli theory Group theory Vector space Modular form Norm Inner product space Moduli space Representation theory Spectral theory of ordinary differential equations Algebra Mathematics Linear algebra
13	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
14	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
15	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
16	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
17	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
18	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
19	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
20	144 BOOK REVIEWS Add to Reading List Source URL: www.ams.org Language: English - Date: 2010-01-14 12:50:33 Kac–Moody algebra Affine Lie algebra En Representation theory Weyl character formula Cartan matrix Simple Lie group Vertex operator algebra Monster Lie algebra Lie algebras Abstract algebra Algebra