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Unimodular lattice
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11	Universal quadratic forms and the 290-Theorem Manjul Bhargava and Jonathan Hanke 1 Introduction Add to Reading List Source URL: www.wordpress.jonhanke.com Language: English - Date: 2011-11-28 18:55:34 Quadratic forms 15 and 290 theorems Prime number Number Modular form Lattice Theta function Smith–Minkowski–Siegel mass formula Unimodular lattice Mathematics Abstract algebra Mathematical analysis
12	PDF Document Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2011-03-02 10:56:49 Abstract algebra Unimodular lattice Signature E8 lattice Degenerate form Surgery theory Lattice Algebraic structure Intersection form Algebra Quadratic forms Mathematics
13	NON-SPLIT REDUCTIVE GROUPS OVER Z Brian Conrad Abstract. — We study the following phenomenon: some non-split connected semisimple Q-groups G admit flat affine Z-group models G with “everywhere good reduction” (i.e. Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2014-07-08 11:03:33 Lie groups Mathematics Unimodular lattice Lattice Smith–Minkowski–Siegel mass formula E8 lattice E7 Orthogonal group E6 Abstract algebra Algebra Quadratic forms
14	COUNTING LATTICE VECTORS DENIS XAVIER CHARLES Abstract. We consider the problem of counting the number of lattice vectors of a given length and prove several results regarding its computational complexity. We show that t Add to Reading List Source URL: pages.cs.wisc.edu Language: English - Date: 2005-01-20 18:37:07 Quadratic forms Lattice points Lie groups Cryptography Linear algebra Lattice Unimodular lattice Modular form Vector space Algebra Mathematics Abstract algebra
15	NON-SPLIT REDUCTIVE GROUPS OVER Z Brian Conrad Abstract. — We study the following phenomenon: some non-split connected semisimple Q-groups G admit flat affine Z-group models G with “everywhere good reduction” (i.e. Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2014-04-07 08:15:47 Lie groups Mathematics Unimodular lattice Lattice Smith–Minkowski–Siegel mass formula E8 lattice E7 Orthogonal group E6 Abstract algebra Algebra Quadratic forms
16	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
17	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
18	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
19	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
20	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