Gives a microlocal description of Aubert-Zelevinsky involution on unipotent L-parameters as Fourier transform plus Chevalley involution plus local system duality on endoscopic subgroups, plus a second formulation via complex conjugation, and proves a microlocal Hiraga conjecture in some cases.
Contragredient representations and char- acterizing the local Langlands correspondence
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A Microlocal Description of Aubert-Zelevinsky Duality on Unipotent $L$-Parameters
Gives a microlocal description of Aubert-Zelevinsky involution on unipotent L-parameters as Fourier transform plus Chevalley involution plus local system duality on endoscopic subgroups, plus a second formulation via complex conjugation, and proves a microlocal Hiraga conjecture in some cases.