English

Godement-Jacquet L-functions and full theta lifts

Representation Theory 2017-09-19 v1

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 GLn(F)GL_n(F) of generic irreducible representations of GLn(F)GL_n(F), where FF is an arbitrary local field.

Keywords

Cite

@article{arxiv.1709.05759,
  title  = {Godement-Jacquet L-functions and full theta lifts},
  author = {Yingjue Fang and Binyong Sun and Huajian Xue},
  journal= {arXiv preprint arXiv:1709.05759},
  year   = {2017}
}