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

Muić, Goran

Canadian journal of mathematics, Tome 60 (2008) no. 6, pp. 1306-1335

Résumé

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.

Détail

DOI : 10.4153/CJM-2008-056-6

Mots-clés : Primary 22E3, secondary: 22E50, 11F70

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