Vol. 1, No. 1, 2019
Download this article
Download this article For screen
For printing
Recent Issues
Volume 6, Issue 3
Volume 6, Issue 2
Volume 6, Issue 1
Volume 5, Issue 4
Volume 5, Issue 3
Volume 5, Issue 2
Volume 5, Issue 1
Volume 4, Issue 4
Volume 4, Issue 3
Volume 4, Issue 2
Volume 4, Issue 1
Volume 3, Issue 4
Volume 3, Issue 3
Volume 3, Issue 2
Volume 3, Issue 1
Volume 2, Issue 4
Volume 2, Issue 3
Volume 2, Issue 2
Volume 2, Issue 1
Volume 1, Issue 4
Volume 1, Issue 3
Volume 1, Issue 2
Volume 1, Issue 1
The Journal
About the journal
Ethics and policies
Peer-review process
Statement, 2023
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN 2576-7666 (online)
ISSN 2576-7658 (print)
Author index
To appear
 
Other MSP Journals
On the irreducibility of some induced representations of real reductive Lie groups

Wee Teck Gan and Atsushi Ichino
Vol. 1 (2019), No. 1, 73–107
DOI: 10.2140/tunis.2019.1.73
Abstract

We prove the irreducibility of some standard modules of the metaplectic group Mp2n(ℝ) and some nonstandard modules of the split odd special orthogonal group SO2n+1(ℝ).

Keywords
irreducibility, real reductive groups, metaplectic groups, Arthur packets
Mathematical Subject Classification 2010
Primary: 22E46, 22E50
Milestones
Received: 26 June 2017
Revised: 6 January 2018
Accepted: 22 January 2018
Published: 2 March 2018
Authors
Wee Teck Gan
Department of Mathematics
National University of Singapore
Singapore
Atsushi Ichino
Department of Mathematics
Kyoto University
Kyoto
Japan