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Lie algebra representation
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321	PACIFIC JOURNAL OF MATHEMATICS Vol. 194, No. 2, 2000 THETA CORRESPONDENCE FOR UNITARY GROUPS Dipendra Prasad In this paper we study the theta correspondence for Unitary groups of the same size over local and global ﬁel Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-08 15:29:56 Representation theory of Lie groups Lie groups Representation theory Harmonic analysis Unitary group Discrete series representation Functional analysis Gelfand pair Representation theory of finite groups Abstract algebra Mathematical analysis Group theory
322	(May 12, [removed]The Segal-Shale-Weil (oscillator) representation Paul Garrett [removed] http://www.math.umn.edu/egarrett/ Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2014-05-12 11:29:01 Representation theory of Lie groups Linear algebra Operator theory Quantum mechanics Weight Representation theory of SL2 Discrete series representation Eigenvalues and eigenvectors Representation theory Algebra Mathematics Abstract algebra
323	Vol. 69, No. 1 DUKE MATHEMATICAL JOURNAL (C) January 1993 Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2005-05-20 01:31:31 Lie groups Representation theory Automorphic forms Group theory General linear group Representation of a Lie group Group representation Whittaker model Langlands program Abstract algebra Algebra Mathematics
324	ON THE GLOBAL ROOT NUMBERS OF GL(n) × GL(m) DIPENDRA PRASAD AND DINAKAR RAMAKRISHNAN To Professor G. Shimura 1. Introduction Let F be a number field, n, m ≥ 1, and π = ⊗0v πv , π 0 = ⊗0v πv0 cuspidal, unitary Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-13 17:25:25 Automorphic forms Class field theory Representation theory of Lie groups Conjectures Langlands program Local Langlands conjectures Cuspidal representation Weil group Artin L-function Abstract algebra Algebra Mathematics
325	A FINITE FIELD HYPERGEOMETRIC FUNCTION ASSOCIATED TO EIGENVALUES OF A SIEGEL EIGENFORM DERMOT McCARTHY AND MATTHEW A. PAPANIKOLAS Abstract. Although links between values of finite field hypergeometric functions and eigen Add to Reading List Source URL: www.math.tamu.edu Language: English - Date: 2012-05-04 12:30:20 Analytic number theory Spectral theory Representation theory of Lie groups Lie algebras Symbol Weight Modular form Elliptic curve Eigenvalues and eigenvectors Algebra Mathematics Abstract algebra
326	Example computations in automorphic spectral theory Paul Garrett, University of Minnesota Desiderata: • Attention to primordial/fundamental issues... • ... presumably requiring adaptible, perhaps Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2010-06-25 09:58:58 Harmonic analysis Representation theory of Lie groups Partial differential equations Hyperbolic geometry Plancherel theorem for spherical functions Hyperbolic function Spherical harmonics Automorphic form Mathematical analysis Mathematics Abstract algebra
327	Moments for L–functions for GLr × GLr−1 A. Diaconu 1 P. Garrett 2 D. Goldfeld 3 Abstract: We establish a spectral identity for moments of Rankin-Selberg L– functions on GLr × GLr−1 over arbitrary number fields, Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2011-03-26 10:40:55 Automorphic forms Cuspidal representation Langlands program Representation theory of Lie groups Fourier series Modular form Gelfand pair Automorphic L-function Abstract algebra Mathematical analysis Group theory
328	Surjectivity of the global-to-local map defining a Selmer group Ralph Greenberg† In memory of Masayoshi Nagata 1 Add to Reading List Source URL: www.math.washington.edu Language: English - Date: 2010-02-19 19:08:12 Algebra Representation theory of Lie groups Operator theory Ordinary differential equations Lie algebras Spectral theory of ordinary differential equations Decomposition of spectrum Abstract algebra Spectral theory Mathematical analysis
329	Extending Local Representations to Global Representations Chandrashekhar Khare & Dipendra Prasad 1. Introduction. It is a theorem of Deligne (and Deligne-Serre for weight 1) that for a cuspidal Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-13 17:11:27 Analytic number theory Representation theory of Lie groups Lie algebras Modular form Moduli theory Elliptic curve Weight Hecke operator Representation theory Abstract algebra Mathematical analysis Mathematics
330	NOTES ON MODULAR REPRESENTATIONS OF p-ADIC GROUPS, AND THE LANGLANDS CORRESPONDENCE DIPENDRA PRASAD These are expanded notes of some lectures given by the author for a workshop held at the Indian Statistical Institute, B Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2014-04-26 05:58:25 Automorphic forms Conjectures Number theory Representation theory of finite groups Deligne–Lusztig theory Local Langlands conjectures Admissible representation Induced representation Weight Abstract algebra Representation theory of Lie groups Representation theory

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