Formal degrees of genuine Iwahori-spherical representations

Published 13 Apr 2023 in math.RT and math.NT | (2304.06595v2)

Abstract: 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 Whittaker dimensions of these representations, when their associated modules over the genuine Iwahori--Hecke algebra are one-dimensional.

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