The local Ginzburg–Rallis model over the complex field

Chen Wan

Vol. 291 (2017), No. 1, 241–256

DOI: 10.2140/pjm.2017.291.241

Abstract

We consider the local Ginzburg–Rallis model over the complex field. We show that the multiplicity is always 1 for a majority of generic representations. We also have partial results on the real case for general generic representations. This is a continuation of our previous work in which we considered the $p$-adic case and the real case for tempered representations.

Keywords

representations of linear algebraic groups over archimedean local field, multiplicity one on Vogan packet

Mathematical Subject Classification 2010

Primary: 22E50

Milestones

Received: 20 September 2016

Revised: 1 March 2017

Accepted: 20 March 2017

Published: 20 August 2017