Tame Supercuspidal Representations of $\GL_n$ Distinguished by Orthogonal Involutions

preprint2011arXivOpen access

For a $p$ -adic field $F$ , the embeddings of a tame supercuspidal representation of $G= {\rm GL}_n (F)$ in the space of smooth functions on the set of symmetric matrices in $G$ are determined.

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Tame Supercuspidal Representations of $\GL_n$ Distinguished by Orthogonal Involutions

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