A note on local periods for supercuspidal representations

Chong Zhang

A note on local periods for supercuspidal representations

Representation Theory 2016-05-04 v4

Authors: Chong Zhang

Abstract

Let $G$ be a $p$ -adic reductive group and $H$ a unimodular spherical subgroup of $G$ . Let $\pi$ be a unitary supercuspidal representation of $G$ . In this note, under a mild assumption, we show that local periods in $Hom_H(\pi,\mathbb{C})$ can be constructed by integrating the matrix coefficients of $\pi$ over $H$ .

Keywords

automorphic representations

Cite

@article{arxiv.1410.8274,
  title  = {A note on local periods for supercuspidal representations},
  author = {Chong Zhang},
  journal= {arXiv preprint arXiv:1410.8274},
  year   = {2016}
}

Comments

This paper has been withdrawn by the author and the result has been merged into arXiv:1509.06166

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