Contragredient representations and characterizing the local Langlands correspondence

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 conside...

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Bibliographic Details
Main Authors: Adams, Jeffrey, Vogan, David A
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Johns Hopkins University Press 2018
Online Access:http://hdl.handle.net/1721.1/116073
https://orcid.org/0000-0002-9816-2395