Genericity and contragredience in the local Langlands correspondence

Kaletha, Tasho

doi:10.2140/ant.2013.7.2447

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

ISSN 1944-7833 (online)

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

DOI: 10.2140/ant.2013.7.2447

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

Vol. 7, No. 10, 2013