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arXiv · 1408.0625

On the local theta representation

Chun-Hui Wang
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Abstract

We study the algebraic framework in which one can define, in the manner of the theta correspondence, a correspondence between representations of two locally profinite groups $H_1$, $H_2$. In particular, we examine when and how such a correspondence can be extended to bigger groups $G_1$, $G_2$ containing $H_1$, $H_2$ respectively as normal subgroups. As an application, we discuss the theta correspondence for a reductive dual pair of the similitude groups in the non-archimedean case.

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Chun-Hui Wang. 2014-08-04. On the local theta representation. https://arxiv.org/abs/1408.0625

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