A note on special orthogonal groups following Waldspurger
Representation Theory
2011-10-12 v2
Abstract
The purpose of this note is to verify that the archimedean multiplicity one theorems shown for orthogonal groups (as well as general linear and unitary groups) in a previous paper of the authors remain valid for special orthogonal groups. The necessary ingredients to establish this variant are due to Waldspurger.
Cite
@article{arxiv.1005.4484,
title = {A note on special orthogonal groups following Waldspurger},
author = {Binyong Sun and Chen-Bo Zhu},
journal= {arXiv preprint arXiv:1005.4484},
year = {2011}
}
Comments
This note is incorporated into the article "Multiplicity one theorems: the Archimedean case", arXiv:0903.1413, to appear in Annals of Mathematics