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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…
math.RT2025
Local character expansions and asymptotic cones over finite fields
Dan Ciubotaru, Emile Okada
We generalise Gelfand-Graev characters to -graded Lie algebras and lift them to produce new test functions to probe the local character expansion in positive d…
math.RT2024
The stable wave front set of theta representations
Edmund Karasiewicz, Emile Okada, Runze Wang
We compute the stable wave front set of theta representations for certain tame Brylinski-Deligne covers of a connected reductive -adic group. The computation involves two main i…