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math.RT2021★ 5 cited
Wavefront Sets of Unipotent Representations of Reductive -adic Groups I
Dan Ciubotaru, Lucas Mason-Brown, Emile Okada
The wavefront set is a fundamental invariant arising from the Harish-Chandra-Howe local character expansion of an admissible representation. We prove a precise formula for the wave…
math.RT2021
A nonabelian Fourier transform for tempered unipotent representations
Anne-Marie Aubert, Dan Ciubotaru, Beth Romano
We define an involution on the space of compact tempered unipotent representations of inner twists of a split simple -adic group and investigate its behaviour with respect t…