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arxiv: 1201.0496 · v3 · pith:J4GCSY5Tnew · submitted 2012-01-02 · 🧮 math.RT

Contragredient representations and characterizing the local Langlands correspondence

Jeffrey Adams , David A. Vogan Jr This is my paper
classification 🧮 math.RT
keywords caseconsidercontragredientcorrespondencelanglandslocalautomorphismcharacterization
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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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