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arXiv · 2304.06595

Formal degrees of genuine Iwahori-spherical representations

Ping Dong·Fan Gao·Runze Wang
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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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Ping Dong, Fan Gao, Runze Wang. 2023-04-13. Formal degrees of genuine Iwahori-spherical representations. https://arxiv.org/abs/2304.06595

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