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Vertex operator algebra
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91	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
92	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
93	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
94	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
95	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
96	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
97	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
98	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
99	C ONTENTS Correlation functions and Eisenstein series 1. The big picture 2. Vertex operator algebras 3. Modular and quasimodular forms 4. Characters of vertex operator algebras Add to Reading List Source URL: www.numerical-yoga-guru-rupnathji.net46.net Language: English - Date: 2013-02-20 06:31:13 Conformal field theory Mathematics Algebras Nonassociative algebra Vertex operator algebra Algebraic structures Virasoro algebra Associative algebra Modular group Abstract algebra Algebra Lie algebras
100	6. String Interactions So far, despite considerable effort, we’ve only discussed the free string. We now wish to consider interactions. If we take the analogy with quantum field theory as our guide, then we might be le Add to Reading List Source URL: www.damtp.cam.ac.uk Language: English - Date: 2010-05-19 05:06:22 Conformal field theory Theoretical physics Projective geometry Conformal anomaly Polyakov action Vertex operator algebra Gauge theory Riemann sphere Feynman diagram Physics Quantum field theory String theory

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