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math.RT2026
Microlocal Arthur packets as a quasi-canonical basis of stable distributions
Dan Ciubotaru, Emile Okada
We show that microlocal Arthur packets can be reconstructed from an otherwise underdetermined system of linear equations arising from Kashiwara's local index theorem. The key is a…
math.RT2026
A Microlocal Description of Aubert-Zelevinsky Duality on Unipotent -Parameters
Jonas Antor, Emile Okada
We give a microlocal description of the Aubert--Zelevinsky involution for all unipotent representations of all inner forms of simple adjoint unramified -adic groups. Via the rea…