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arXiv · 1204.0132

Genericity and contragredience in the local Langlands correspondence

Tasho Kaletha
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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.

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Tasho Kaletha. 2012-03-31. Genericity and contragredience in the local Langlands correspondence. https://arxiv.org/abs/1204.0132

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