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Lie group
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461	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
462	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
463	Crystals of Type B and Metaplectic Whittaker Functions Brubaker, Bump, Chinta and Gunnells May 11, 2010 Let n be an integer and let F be a nonarchimedean local field whose characteristic is not a prime dividing n. Let µ Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:35 Group theory Representation theory of Lie groups Lie groups Representation theory Weyl character formula Symbol Weight Root system Weyl group Abstract algebra Algebra Lie algebras
464	The moduli space of Enriques surfaces and the fake monster Lie superalgebra. 27 October 1994, corrected 27 January[removed]Topology vol. 35 no. 3, [removed], 1996. Richard E. Borcherds,∗ Mathematics department, Evans Hall Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:06:07 Moduli theory Group theory Vector space Modular form Norm Inner product space Moduli space Representation theory Spectral theory of ordinary differential equations Algebra Mathematics Linear algebra
465	Schubert Eisenstein Series Daniel Bump∗ YoungJu Choie† Abstract. We define Schubert Eisenstein series as sums like usual Eisenstein Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2013-09-10 14:19:08 Representation theory Lie algebras Algebraic geometry Analytic number theory Demazure module Schubert variety Weyl group Root system Bruhat decomposition Abstract algebra Algebra Lie groups
466	Spectral Theory and the Trace Formula (Expanded Text) by Daniel Bump We give an account of a portion of the spectral theory ?nSL2(R), particularly the Selberg trace formula, emphasizing ideas from representation theory. Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:38:48 Operator theory Quantum mechanics Representation theory of Lie groups Topological groups Group action Group theory Hilbert space Modular form Representation theory of finite groups Mathematical analysis Abstract algebra Mathematics
467	Crystals and Multiple Dirichlet Series Brubaker, Bump, Chinta, Friedberg, Gunnells Work In Progress Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2011-06-09 18:39:05 Lie algebras Weyl character formula Littelmann path model Quantum group Weight Symbol Hopf algebra Universal enveloping algebra Restricted representation Abstract algebra Algebra Representation theory
468	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
469	Communications presented at SPT20071 ————————————Mina Abd-el-Malek (American University in Cairo, Egypt) Internal flow problem through a conducting thin duct via the Lie group method Summary: The Add to Reading List Source URL: www.sptspt.it Language: English - Date: 2007-06-13 17:40:36 Hamiltonian mechanics Dynamical systems Partial differential equations Classical mechanics Symmetry Integrable system Ordinary differential equation Differential equation Symmetry in mathematics Physics Calculus Mathematical analysis
470	Coxeter groups, Lorentzian lattices, and K3 surfaces. 25 June, 27 July 1998 Internat. Math. Res. Notices 1998, no. 19, 1011–1031. Richard E. Borcherds, ∗ Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:05:26 Algebra Coxeter group Weyl group E7 Reflection group Presentation of a group Semidirect product G2 E6 Abstract algebra Lie groups Group theory

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