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arXiv · 1601.03611

On representations of ${\rm GL}_{2n}(F)$ with a symplectic period

Arnab Mitra
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Abstract

The main aim of this paper is to classify the irreducible admissible representations of ${\rm GL}_{4}(F)$ and ${\rm GL}_{6}(F)$ for a nonarchimedean local field $F$, which bear a nontrivial linear form invariant under the groups ${\rm Sp}_{4}(F)$ and ${\rm Sp}_{6}(F)$ respectively. We propose a few conjectures for the general case.

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BibTeXRIS

Arnab Mitra. 2016-01-14. On representations of ${\rm GL}_{2n}(F)$ with a symplectic period. https://arxiv.org/abs/1601.03611

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