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Lattice theory
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#	Item
581	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
582	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
583	Discrete Mathematics[removed] – 15 www.elsevier.com/locate/disc Cooperative games on antimatroids E. Algabaa , J.M. Bilbaoa , R. van den Brinkb , A. Jim(enez-Losadaa Add to Reading List Source URL: www.esi2.us.es Language: English - Date: 2004-05-11 06:01:37 Antimatroid Convex geometry Lattice theory Matroid Partially ordered set Closure operator Greedoid Mathematics Combinatorics Order theory
584	Math Meth Oper Res[removed]:147–166 DOI[removed]s001860300307 An axiomatization of the Banzhaf value for cooperative games on antimatroids E. Algaba1 , J. M. Bilbao2 , R. van den Brink3 , A. Jime´nez-Losada4 Add to Reading List Source URL: www.esi2.us.es Language: English - Date: 2004-05-11 08:27:27 Cooperative games Fair division Antimatroid Convex geometry Lattice theory Shapley value Matroid Mathematics Game theory Combinatorics
585	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
586	Eisenstein Series, Crystals and Ice Benjamin Brubaker, Daniel Bump, and Solomon Friedberg∗ July 31, 2011 1 Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-08-01 10:42:02 Modular forms Analytic number theory Mathematical series Representation theory of Lie groups Joseph Fourier Eisenstein series Lattice Representation theory Fourier series Abstract algebra Algebra Mathematics
587	METAPLECTIC ICE BEN BRUBAKER, DANIEL BUMP, GAUTAM CHINTA, SOLOMON FRIEDBERG, AND PAUL E. GUNNELLS Abstract. We study spherical Whittaker functions on a metaplectic cover of GL(r + 1) over a nonarchimedean local field usi Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:06 Statistical mechanics Representation theory Restricted representation Metaplectic group Vertex model Gelfand Ice-type model Lattice Abstract algebra Mathematics Lattice models
588	Generalized Constraints and Application Conditions for Graph Transformation Systems Karl-Heinz Pennemann Carl v. Ossietzky University of Oldenburg, Germany [removed] September 17, 2004 Add to Reading List Source URL: formale-sprachen.informatik.uni-oldenburg.de Language: English - Date: 2013-07-09 05:42:22 Graph rewriting Category theory Duality Morphism Graph Constraint programming Universal property Category Lattice theory Mathematics Graph theory Theoretical computer science
589	Lattice games J. M. Bilbao Departamento de Matemática Aplicada II Escuela Superior de Ingenieros, Camino de los Descubrimientos s/n[removed]Sevilla, Spain. E-mail: [removed] Add to Reading List Source URL: www.esi2.us.es Language: English - Date: 2000-12-05 16:35:18 Algebra Algebraic structures Order theory Convex geometry Distributive lattice Lattice Boolean algebra Complete lattice Closure operator Abstract algebra Mathematics Lattice theory
590	Math Meth Oper Res[removed] : 49–65 Axiomatizations of the Shapley value for cooperative games on antimatroids* E. Algaba1, J. M. Bilbao2, R. van den Brink3, and A. Jime´nez-Losada4 1 Matema´tica Aplicada II, Escue Add to Reading List Source URL: www.esi2.us.es Language: English - Date: 2003-05-05 15:13:11 Cooperative games Convex geometry Order theory Antimatroid Lattice theory Shapley value Partially ordered set Matroid Mathematics Game theory Combinatorics

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