Genericity and contragredience in the local Langlands correspondence

2012/03/31 by Kaletha, Tasho · 2 citations
#FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1204.0132

Abstract

We prove the recent conjectures of Adams-Vogan and D. Prasad on the behavior of the local Langlands correspondence with respect to taking the contragredient of a representation. The proof holds for tempered representations of quasi-split real K-groups and quasi-split 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.

Cited by

• The local Langlands conjecture
• Algebraicity of adjoint L-functions for quasi-split groups

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