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Richard Borcherds
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#	Item
1	Lattices like the Leech lattice. Journal of Algebra, Vol. 130, No. 1, April 1990, 219–234. Richard E. Borcherds, Department of mathematics, University of California at Berkeley, Berkeley, California[removed]Introduction Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:08:17 Lattice points Quadratic forms Lie groups Lie algebras Sporadic groups II25 1 Leech lattice Root system Niemeier lattice Abstract algebra Algebra Group theory
2	What is the monster. 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/˜re Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2002-09-30 12:54:38 Moonshine theory Group theory Sporadic groups Nonassociative algebra Monstrous moonshine Monster Lie algebra J-invariant Representation theory Griess algebra Abstract algebra Algebra Lie algebras
3	Automorphic forms on Os+2,2 (R)+ and generalized Kac-Moody algebras. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Z¨ urich, 1994), 744–752, Birkh¨auser, Basel, 1995. Richard E. Borcherds * Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2002-05-16 14:04:49 Lie algebras Modular forms Elliptic functions Moonshine theory Q-analogs J-invariant Monster Lie algebra Generalized Kac–Moody algebra Representation theory Abstract algebra Mathematical analysis Mathematics
4	The Leech lattice. Proc. R. Soc. Lond. A 398, [removed]Richard E. Borcherds, University of Cambridge, Department of Pure Mathematics and Mathematical Statistics, 16 Mill Lane, Cambridge, CB2 1SB, U.K. New proofs of Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:08:07 Lie groups Lattice points Quadratic forms Lie algebras Sporadic groups II25 1 Leech lattice Niemeier lattice Unimodular lattice Abstract algebra Group theory Algebra
5	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
6	Families of K3 surfaces. J. Algebraic Geom[removed]), no. 1, 183–193. Richard E. Borcherds † Mathematics department, Evans Hall, 3840, UC Berkeley, CA[removed]D.P.M.M.S., 16 Mill Lane, Cambridge CB2 1SB, UK email: Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:07:59 Algebraic surfaces K3 surface Enriques–Kodaira classification Enriques surface Kodaira dimension Moduli space Abelian variety Divisor Unimodular lattice Algebraic geometry Geometry Abstract algebra
7	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
8	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
9	Generalized Kac-Moody algebras. Journal of Algebra Vol 115, No. 2, June 1988 Richard E. Borcherds, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge CB2 1SB, Eng Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:06:45 Group theory Generalized Kac–Moody algebra Kac–Moody algebra Weyl character formula Cartan subalgebra Monster Lie algebra Representation theory En Weyl group Lie algebras Abstract algebra Algebra
10	The fake monster formal group. 27 May, 31 Dec 1998 Duke Math J. Vol 100 No[removed]), [removed]Richard E. Borcherds, ∗ Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:06:33 Representation theory Ring theory Lie algebras Hopf algebras Universal enveloping algebra Coalgebra Formal group Associative algebra Algebra over a field Abstract algebra Algebra Algebras

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