A Local Trace Formula for the Generalized Shalika Model
Representation Theory
2019-05-29 v1 Number Theory
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 -packet and that they are related to local exterior square -functions.
Cite
@article{arxiv.1801.06572,
title = {A Local Trace Formula for the Generalized Shalika Model},
author = {Raphaël Beuzart-Plessis and Chen Wan},
journal= {arXiv preprint arXiv:1801.06572},
year = {2019}
}