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Monster vertex algebra
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1	A Monster Lie Algebra? Chapter 30 of “Sphere packing, lattices and groups” by Conway and Sloane, and Adv. in Math[removed]), no. 1, 75–79. R. E. Borcherds, J. H. Conway, L. Queen and N. J. A. Sloane We define a re Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:03:44 Group theory Lie groups Monster Lie algebra Kac–Moody algebra Cartan subalgebra Monster vertex algebra E8 En Vertex operator algebra Abstract algebra Lie algebras Algebra
2	Modular Moonshine II. 24 July 1994, corrected 19 Sept 1995 Duke Math. J[removed]no. 2, [removed]Richard E. Borcherds,∗ Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:08:35 Lie algebras Moonshine theory Conformal field theory Nonassociative algebra Vertex operator algebra Monstrous moonshine Weight Monster vertex algebra Monster Lie algebra Abstract algebra Algebra Mathematics
3	The monster Lie algebra. Adv. Math. Vol 83, No. 1, September 1990, p[removed]Richard E. Borcherds, Department of pure mathematics and mathematical statistics, 16 Mill Lane, Cambridge CB2 1SB, England. We calculate the mu Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:06:24 Lie algebras Moonshine theory Representation theory of Lie groups Quadratic forms Lie groups Monster Lie algebra Kac–Moody algebra Vertex operator algebra Weight Abstract algebra Algebra Mathematics
4	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
5	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
6	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
7	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
8	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
9	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
10	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