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Theta Lifts of Tempered Representations for Dual Pairs (Sp2n,O(V))

Published online by Cambridge University Press:  20 November 2018

Goran Muić
Goran Muić*
Affiliation:
Department of Mathematics, University of Zagreb, 10000 Zagreb, Croatia e-mail:gmuic@math.hr
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Abstract

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This paper is the continuation of our previous work on the explicit determination of the structure of theta lifts for dual pairs $\left( {{\text{S}}_{{{\text{p}}_{2n}},}}\,O\left( V \right) \right)$ over a non-archimedean field $F$ of characteristic different than 2, where $n$ is the split rank of ${{\text{S}}_{{{\text{p}}_{2n}}}}$ and the dimension of the space $V$ (over $F$) is even. We determine the structure of theta lifts of tempered representations in terms of theta lifts of representations in discrete series.

Keywords

Primary 22E3secondary: 22E5011F70
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 60 , Issue 6 , 01 December 2008 , pp. 1306 - 1335
Copyright
Copyright © Canadian Mathematical Society 2008

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