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arXiv · 1201.0496

Contragredient representations and characterizing the local Langlands correspondence

Jeffrey Adams·David A. Vogan Jr
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Abstract

We consider the question: what is the contragredient in terms of L-homomorphisms? We conjecture that it corresponds to the Chevalley automorphism of the L-group, and prove this in the case of real groups. The proof uses a characterization of the local Langlands correspondence over R. We also consider the related notion of Hermitian dual, in the case of GL(n,R).

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Jeffrey Adams, David A. Vogan Jr. 2015-04-03. Contragredient representations and characterizing the local Langlands correspondence. https://arxiv.org/abs/1201.0496

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