Cuspidal representation

Results: 55



#Item
31Automorphic forms / Langlands program / Representation theory of Lie groups / Automorphic L-function / Cuspidal representation / Whittaker model / Fourier series / Gelfand pair / Abstract algebra / Group theory / Representation theory

ON THE SL(2) PERIOD INTEGRAL By U. K. ANANDAVARDHANAN and DIPENDRA PRASAD Abstract. Let E/F be a quadratic extension of number fields. For a cuspidal representation π of SL2 (AE ), we study in this paper the integral

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Language: English - Date: 2006-12-22 11:45:58
32Representation theory of Lie groups / Automorphic forms / Representation theory / Cuspidal representation / Conjectures / Number theory / Modular form / Algebraic number field / Weil group / Abstract algebra / Algebra / Class field theory

Journal of Number Theory 80, 2543[removed]Article ID jnth[removed], available online at http:www.idealibrary.com on Tate Cycles on a Product of Two Hilbert Modular Surfaces V. Kumar Murty 1

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Language: English - Date: 2006-11-07 21:06:58
33Representation theory / Automorphic forms / Fourier analysis / Metaplectic group / Reductive dual pair / Cuspidal representation / Modular form / Symplectic vector space / Orthogonal group / Abstract algebra / Algebra / Mathematics

A brief survey on the theta correspondence Dipendra Prasad The following is an expanded version of the notes for a survey lecture on the theta correspondence given at Trichy in January, 1996. The aim of this lecture was

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Language: English - Date: 2007-01-23 10:29:33
34Induced representation / Whittaker model / Local Langlands conjectures / Admissible representation / Cuspidal representation / Gelfand pair / Clifford theory / Abstract algebra / Representation theory / Automorphic forms

Mathematical Research Letters 10, 1–[removed]DISTINGUISHED REPRESENTATIONS FOR SL(2) U.K. Anandavardhanan and Dipendra Prasad Abstract. Let E/F be a quadratic extension of p-adic fields. We compute the

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Language: English - Date: 2003-12-04 22:05:49
35Representation theory / Deligne–Lusztig theory / Unipotent representation / Cuspidal representation / Unipotent / Parabolic induction / Character theory / Regular representation / Gelfand pair / Abstract algebra / Algebra / Group theory

NOTES ON REPRESENTATIONS OF FINITE GROUPS OF LIE TYPE DIPENDRA PRASAD These are the notes of some lectures given by the author for a workshop held at TIFR in December, 2011, giving an exposition of the Deligne-Lusztig th

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Language: English - Date: 2014-04-03 07:11:34
36Induced representation / Simple module / Cuspidal representation / Unipotent / Deligne–Lusztig theory / Linear temporal logic / Abstract algebra / Algebra / Representation theory

IMRN International Mathematics Research Notices 2000, No. 11 The Space of Degenerate Whittaker Models for General Linear Groups over a Finite Field Dipendra Prasad

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Language: English - Date: 2006-11-07 20:44:34
37Automorphic 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

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

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Language: English - Date: 2006-11-13 17:25:25
38Automorphic 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

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,

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Source URL: www.math.umn.edu

Language: English - Date: 2011-03-26 10:40:55
39Analytic 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

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

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Language: English - Date: 2006-11-13 17:11:27
40Representation theory of Lie groups / Class field theory / Representation theory / Character theory / Symbol / Harmonic analysis / Cuspidal representation / Conductor / Admissible representation / Abstract algebra / Group theory / Algebra

SOME REMARKS ON REPRESENTATIONS OF QUATERNION DIVISION ALGEBRAS DIPENDRA PRASAD Abstract. For the quaternion division algebra D over a non-Archimedean local field k, and π an irreducible finite dimensional representatio

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Language: English - Date: 2010-12-06 04:44:27
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