On the first occurrence of cuspidal representations of symplectic groups

David Ginzburg; Nadya Gurevich

doi:10.1017/S1474748005000162

On the first occurrence of cuspidal representations of symplectic groups

David Ginzburg, Nadya Gurevich

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We study the first occurrence of a cuspidal representation [formula omitted] of [formula omitted] in the tower of split orthogonal groups under symplectic-orthogonal theta lift. We give upper and lower bounds for the first occurrence in terms of the wave front of [formula omitted]. Besides we describe a class of small cuspidal representations whose first occurrence is the maximal possible.

Original language	English
Pages (from-to)	35-52
Number of pages	18
Journal	Journal of the Institute of Mathematics of Jussieu
Volume	5
Issue number	1
DOIs	https://doi.org/10.1017/S1474748005000162
State	Published - 1 Jan 2006

Keywords

Fourier coefficients of automorphic forms
first occurrence
wave front

ASJC Scopus subject areas

General Mathematics

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10.1017/S1474748005000162

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abstract = "We study the first occurrence of a cuspidal representation [formula omitted] of [formula omitted] in the tower of split orthogonal groups under symplectic-orthogonal theta lift. We give upper and lower bounds for the first occurrence in terms of the wave front of [formula omitted]. Besides we describe a class of small cuspidal representations whose first occurrence is the maximal possible.",

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AB - We study the first occurrence of a cuspidal representation [formula omitted] of [formula omitted] in the tower of split orthogonal groups under symplectic-orthogonal theta lift. We give upper and lower bounds for the first occurrence in terms of the wave front of [formula omitted]. Besides we describe a class of small cuspidal representations whose first occurrence is the maximal possible.

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KW - first occurrence

KW - wave front

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On the first occurrence of cuspidal representations of symplectic groups

Abstract

Keywords

ASJC Scopus subject areas

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