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Algebra representation
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#	Item
821	Introduction to the monster Lie algebra. Groups, Combinatorics, and geometry, p. 99–107, edited by M. W. Liebeck and J. Saxl, L.M.S. lecture note series 165, C.U.P[removed]Richard E. Borcherds, I would like to thank J. Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 1999-12-09 18:08:25 Monster Lie algebra Kac–Moody algebra Weyl character formula Monstrous moonshine Simple Lie group Vertex operator algebra En Representation theory E8 Abstract algebra Lie algebras Lie groups
822	RECIPROCITY LAWS. FROM EULER TO EISENSTEIN REVIEWER P. SHIU Fermat found that primes p ≡ 1 (mod 4) are sums of two squares, and Euler went on to investigate the representation of primes using more general quadratic for Add to Reading List Source URL: www.rzuser.uni-heidelberg.de Language: English - Date: 2002-11-03 20:34:30 Algebraic number theory Modular arithmetic Quadratic residue Mental calculators Disquisitiones Arithmeticae Quadratic reciprocity Reciprocity law Legendre symbol Class field theory Mathematics Abstract algebra Number theory
823	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
824	ACTA ARITHMETICA[removed]Inductivity of the global root number by Add to Reading List Source URL: math.bu.edu Language: English - Date: 2013-06-20 09:54:38 Algebraic number theory Galois theory Artin L-function Symbol Frobenius endomorphism Representation theory of Lie groups Representation theory of finite groups Local Langlands conjectures Abstract algebra Algebra Class field theory
825	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
826	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
827	Factorial Schur Functions and the Yang-Baxter Equation Daniel Bump, Peter J. McNamara and Maki Nakasuji May 27, 2014 Abstract. Factorial Schur functions are generalizations of Schur functions that have, in addition to th Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2014-05-27 12:25:35 Invariant theory Symmetric functions Orthogonal polynomials Representation theory Combinatorics Factorial Schur polynomial Partition function Littlewood–Richardson rule Mathematics Abstract algebra Algebra
828	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
829	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
830	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

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