English

Rankin-Selberg integrals for principal series representations of GL(n)

Representation Theory 2021-09-14 v1

Abstract

We prove that the local Rankin--Selberg integrals for principal series representations of the general linear groups agree with certain simple integrals over the Rankin--Selberg subgroups, up to certain constants given by the local gamma factors.

Keywords

Cite

@article{arxiv.2109.05271,
  title  = {Rankin-Selberg integrals for principal series representations of GL(n)},
  author = {Dongwen Liu and Feng Su and Binyong Sun},
  journal= {arXiv preprint arXiv:2109.05271},
  year   = {2021}
}