Binyong Sun, Chen-Bo Zhu
Published 2010-05-25, updated 2011-10-11Version 2
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.
Comments: This note is incorporated into the article "Multiplicity one theorems: the Archimedean case", arXiv:0903.1413, to appear in Annals of Mathematics
Restricting unipotent characters in special orthogonal groups
The endoscopic character identity for even special orthogonal groups
Certain Unitary Langlands-Vogan Parameters for Special Orthogonal Groups I
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