The Aubert-Zelevinsky involution on unipotent L-parameters equals Fourier transform composed with complex conjugation and inversion, simplifying further for most groups and yielding a proof of the microlocal Hiraga conjecture plus Hecke algebra characterizations.
Induced representations of reductivep-adic groups. II: On irreducible representations ofGL(n)
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A Microlocal Description of Aubert-Zelevinsky Duality on Unipotent $L$-Parameters
The Aubert-Zelevinsky involution on unipotent L-parameters equals Fourier transform composed with complex conjugation and inversion, simplifying further for most groups and yielding a proof of the microlocal Hiraga conjecture plus Hecke algebra characterizations.