Strongly positive representations of even GSpin groups

Yeansu Kim

Vol. 280 (2016), No. 1, 69–88

DOI: 10.2140/pjm.2016.280.69

Abstract

We obtain a classification of strongly positive representations of split even general spin groups over a $p$-adic field $F$ using the Jacquet module method (Tadić’s structure formula). Furthermore, we study discrete series representations of split even general spin groups over $F$.

Keywords

strongly positive representations, discrete series representations, Jacquet module

Mathematical Subject Classification 2010

Primary: 20C11

Secondary: 11F70

Milestones

Received: 10 March 2015

Revised: 30 April 2015

Accepted: 2 May 2015

Published: 28 December 2015