arXiv:2109.05271 [math.RT]AbstractReferencesReviewsResources
Rankin-Selberg integrals for principal series representations of GL(n)
Dongwen Liu, Feng Su, Binyong Sun
Published 2021-09-11Version 1
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.
Categories: math.RT
Related articles: Most relevant | Search more
arXiv:0706.0066 [math.RT] (Published 2007-06-01)
The $(g,K)$-module structures of principal series representations of $Sp(3,R)$
arXiv:1702.05836 [math.RT] (Published 2017-02-20)
The socle filtrations of principal series representations of $SL(3,\mathbb{R})$ and $Sp(2,\mathbb{R})$
arXiv:math/0402283 [math.RT] (Published 2004-02-17)
Principal Series Representations of Direct Limit Groups