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Operator algebras
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181	jones.qxp[removed]:00 AM Page 792 Review of Noncommutative Geometry by Alain Connes Vaughan Jones and Henri Moscovici Add to Reading List Source URL: www.ams.org Language: English - Date: 1999-03-08 15:15:43 Von Neumann algebras Mathematics Noncommutative geometry Alain Connes C*-algebra Cyclic homology Crossed product KK-theory Operator algebra Abstract algebra Mathematical analysis Operator theory
182	Modular Moonshine III. 11 October 1994, corrected 18 Nov 1997 Duke Math. J[removed]), no. 1, 129–154. Richard E. Borcherds,∗ Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:08:50 Lie algebras Cohomology theories Group theory Conformal field theory Vertex operator algebra Monstrous moonshine Tate cohomology group XTR Group cohomology Abstract algebra Algebra Homological algebra
183	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
184	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
185	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
186	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
187	A Good Spectral Theorem c 1996, Paul Garrett, [removed] version February 12, 19961 Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2006-11-21 14:24:03 Operator theory Linear algebra Von Neumann algebras Functional analysis Direct integral Measure theory Hilbert space Spectral theorem Measure Algebra Mathematical analysis Mathematics
188	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
189	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
190	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

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