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math.RT2023
Quasi-admissible, raisable nilpotent orbits, and theta representations
Fan Gao, Baiying Liu, Wan-Yu Tsai
We study the quasi-admissibility and raisablility of some nilpotent orbits of a covering group. In particular, we determine the degree of the cover such that a given split nilpoten…
math.RT2023
Formal degrees of genuine Iwahori-spherical representations
Ping Dong, Fan Gao, Runze Wang
For square-integrable genuine Iwahori-spherical representations of central covers, we verify the Hiraga--Ichino--Ikeda formula for their formal degrees. We also compute the Whittak…