## Algebra & Number Theory

### Genericity and contragredience in the local Langlands correspondence

Tasho Kaletha

#### 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.

#### Article information

Source
Algebra Number Theory, Volume 7, Number 10 (2013), 2447-2474.

Dates
Revised: 25 January 2013
Accepted: 26 April 2013
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.ant/1513730113

Digital Object Identifier
doi:10.2140/ant.2013.7.2447

Mathematical Reviews number (MathSciNet)
MR3194648

Zentralblatt MATH identifier
1371.11148

#### Citation

Kaletha, Tasho. Genericity and contragredience in the local Langlands correspondence. Algebra Number Theory 7 (2013), no. 10, 2447--2474. doi:10.2140/ant.2013.7.2447. https://projecteuclid.org/euclid.ant/1513730113

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