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arXiv · 2007.11763

Linear periods for unitary representations

Chang Yang
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Abstract

Let $F$ be a local non-Archimedean field of characteristic zero with a finite residue field. Based on Tadi\'{c}'s classification of the unitary dual of $\mathrm{GL}_{2n}(F)$, we classify irreducible unitary representations of $\mathrm{GL}_{2n}(F)$ that have nonzero linear periods, in terms of Speh representations that have nonzero periods. We also give a necessary and sufficient condition for the existence of a nonzero linear period for a Speh representation.

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Chang Yang. 2020-07-23. Linear periods for unitary representations. https://arxiv.org/abs/2007.11763

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