Contragredient representations and characterizing the local Langlands correspondence
Representation Theory
2015-04-06 v3
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).
Keywords
Cite
@article{arxiv.1201.0496,
title = {Contragredient representations and characterizing the local Langlands correspondence},
author = {Jeffrey Adams and David A. Vogan},
journal= {arXiv preprint arXiv:1201.0496},
year = {2015}
}