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231	Chapter 17 The 24-dimensional odd unimodular lattices. R. E. Borcherds. This chapter completes the classification of the 24-dimensional unimodular lattices by enumerating the odd lattices. These are (essentially) in one- Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:10:08 Quadratic forms Lattice points Lie groups Moonshine theory Sporadic groups II25 1 Leech lattice Unimodular lattice Niemeier lattice Algebra Abstract algebra Mathematics
232	The Leech lattice and other lattices. This is a corrected[removed]copy of my Ph.D. thesis. I have corrected several errors, added a few remarks about later work by various people that improves the results here, and missed Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2000-12-19 14:42:20 Quadratic forms Lie groups Lattice points Sporadic groups Moonshine theory II25 1 Leech lattice Unimodular lattice Niemeier lattice Abstract algebra Algebra Group theory
233	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
234	Automorphism groups of Lorentzian lattices. Journal of Algebra, Vol. 111, No. 1, Nov 1987, 133–153. Richard E. Borcherds, D.P.M.M.S., University of Cambridge, 16 Mill Lane, Cambridge, CB2 1SB, England. The study of aut Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:04:02 Lie groups Lie algebras Sporadic groups Lattice points Quadratic forms II25 1 E8 Root system Dynkin diagram Abstract algebra Group theory Algebra
235	A Siegel cusp form of degree 12 and weight 12. J. reine angew. Math[removed]153. Richard E. Borcherds, ∗ D.P.M.M.S., 16 Mill Lane, Cambridge, CB2 1SB, England. [removed] E. Freitag, Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:09:57 Quadratic forms Lattice points Lie groups Lie algebras Sporadic groups Leech lattice Unimodular lattice Modular form Lattice Abstract algebra Algebra Mathematics
236	Automorphic forms on Os+2,2 (R) and infinite products. Invent. Math. 120, p[removed]Richard E. Borcherds. Mathematics department, University of California at Berkeley, CA[removed]U. S. A. e-mail: [removed] Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2001-01-17 12:31:15 Modular forms Quadratic forms Lie groups Moonshine theory Analytic number theory Theta function Hecke operator Representation theory Jacobi form Mathematics Mathematical analysis Algebra
237	Classification of positive definite lattices. 22 Feb 2000 Richard E. Borcherds, ∗ Mathematics department, Evans Hall #3840, University of California at Berkeley, CA Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2000-02-22 16:59:01 Lattice points Quadratic forms Lie groups Linear algebra Sporadic groups II25 1 Leech lattice Unimodular lattice Niemeier lattice Algebra Mathematics Abstract algebra
238	S´eminaire Bourbaki 52 ann´ee, [removed], no 876 Juin[removed]DERIVATIVES OF EISENSTEIN SERIES Add to Reading List Source URL: www.math.toronto.edu Language: English - Date: 2007-09-12 16:04:26 Modular forms Symbol Theta function Eisenstein series Elliptic curve Quadratic form Kronecker limit formula Μ operator Mathematical analysis Mathematics Analytic number theory
239	Lecture Notes on Symmetric Spaces J.-H. Eschenburg To Renato. Contents Add to Reading List Source URL: www.math.uni-augsburg.de Language: English - Date: 2012-07-22 05:39:32 Differential geometry Lie groups Homogeneous spaces Quadratic forms Riemannian geometry Symmetric space Generalized flag variety Riemannian manifold Orthogonal group Geometry Algebra Mathematics
240	Higher composition laws and applications Manjul Bhargava∗ Abstract. In 1801 Gauss laid down a remarkable law of composition on integral binary quadratic forms. This discovery, known as Gauss composition, not only had a Add to Reading List Source URL: www.icm2006.org Language: English - Date: 2013-10-02 08:04:05 Algebraic number theory Quadratic forms Field theory Algebraic geometry Multilinear algebra Binary quadratic form Ideal class group Quadratic field Discriminant Algebra Abstract algebra Mathematics

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