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arXiv · 1801.06572

A Local Trace Formula for the Generalized Shalika Model

Raphaël Beuzart-Plessis·Chen Wan
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Abstract

We study local multiplicities associated to the so-called generalized Shalika models. By establishing a local trace formula for these kind of models, we are able to prove a multiplicity formula for discrete series. As a result, we can show that these multiplicities are constant over every discrete Vogan $L$-packet and that they are related to local exterior square $L$-functions.

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BibTeXRIS

Raphaël Beuzart-Plessis, Chen Wan. 2018-01-19. A Local Trace Formula for the Generalized Shalika Model. https://doi.org/10.1215/00127094-2018-0064

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