Vol. 7, No. 10, 2013

Download this article
Download this article For screen
For printing
Recent Issues

Volume 13
Issue 5, 995–1242
Issue 4, 749–993
Issue 3, 531–747
Issue 2, 251–530
Issue 1, 1–249

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editors' Interests
Submission Guidelines
Submission Form
Editorial Login
Ethics Statement
Author Index
To Appear
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Other MSP Journals
Genericity and contragredience in the local Langlands correspondence

Tasho Kaletha

Vol. 7 (2013), No. 10, 2447–2474
Abstract

Adams, Vogan, and D. Prasad have given conjectural formulas for the behavior of the local Langlands correspondence with respect to taking the contragredient of a representation. We prove these conjectures for tempered representations of quasisplit real K-groups and quasisplit p-adic classical groups (in the sense of Arthur). We also prove a formula for the behavior of the local Langlands correspondence for these groups with respect to changes of the Whittaker data.

Keywords
local Langlands correspondence, contragredient, generic, Whittaker data, $L$-packet, classical group
Mathematical Subject Classification 2010
Primary: 11S37
Secondary: 22E50
Milestones
Received: 14 July 2012
Revised: 25 January 2013
Accepted: 26 April 2013
Published: 18 January 2014
Authors
Tasho Kaletha
Department of Mathematics
Princeton University
Fine Hall, Washington Road
Princeton, NJ 08544
United States