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A Local Trace Formula for the Generalized Shalika Model (1801.06572v1)
Published 19 Jan 2018 in math.RT and math.NT
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.