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arXiv · 1711.09170

Local unitary periods and relative discrete series

Jerrod Manford Smith
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Abstract

Let $F$ be a $p$-adic field ($p\neq 2$), let $E$ be a quadratic Galois extension of $F$, and let $n \geq 2$. We construct representations in the discrete spectrum of the $p$-adic symmetric space $H \backslash G$, where $G = \mathbf{GL}_{2n}(E)$ and $H = \mathbf{U}_{E/F}(F)$ is a quasi-split unitary group over $F$.

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Jerrod Manford Smith. 2017-11-24. Local unitary periods and relative discrete series. https://doi.org/10.2140/pjm.2018.297.225

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