Vol. 7, No. 10, 2013

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

Volume 14, 1 issue

Volume 13, 10 issues

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

Tasho Kaletha

Vol. 7 (2013), No. 10, 2447–2474

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.

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