A Local Trace Formula for the Generalized Shalika Model

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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Cited by in corpus (2)

• Unitary Friedberg-Jacquet periods
• A reformulation of the conjecture of Prasad and Takloo-Bighash