Algebra & Number Theory
- Algebra Number Theory
- Volume 7, Number 10 (2013), 2447-2474.
Genericity and contragredience in the local Langlands correspondence
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 -groups and quasisplit -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.
Algebra Number Theory, Volume 7, Number 10 (2013), 2447-2474.
Received: 14 July 2012
Revised: 25 January 2013
Accepted: 26 April 2013
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 11S37: Langlands-Weil conjectures, nonabelian class field theory [See also 11Fxx, 22E50]
Secondary: 22E50: Representations of Lie and linear algebraic groups over local fields [See also 20G05]
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