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math.RT2026
Wavefront sets for genuine representations of -covers of Kazhdan--Patterson or Savin types
Fan Gao, Runze Wang, Jiandi Zou
First, we consider general Brylinski--Deligne covers of the -adic general linear groups, and discuss the theory of Bernstein--Zelevinsky derivatives. We also recall the Zelevins…
math.RT2026
Geometric wavefront sets of genuine Iwahori-spherical representations
Fan Gao, Runze Wang
For Iwahori-spherical genuine representations of central covers with positive real Satake parameters, we prove the upper bound inequality for their geometric wavefront sets, formul…