Godement-Jacquet L-functions and full theta lifts

2017/09/18 by Fang, Yingjue, Sun, Binyong, Xue, Huajian · 1 citation
#22E50 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1709.05759

Abstract

We relate poles of local Godement-Jacquet L-functions to distributions on matrix spaces with singular supports. As an application, we show the irreducibility of the full theta lifts to GL_n(F) of generic irreducible representations of GL_n(F), where F is an arbitrary local field.

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• Godement--Jacquet L-function and homological theta lifting

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