Formal degrees of genuine Iwahori-spherical representations
Representation Theory
2023-05-16 v2 Number Theory
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.
Keywords
Cite
@article{arxiv.2304.06595,
title = {Formal degrees of genuine Iwahori-spherical representations},
author = {Ping Dong and Fan Gao and Runze Wang},
journal= {arXiv preprint arXiv:2304.06595},
year = {2023}
}
Comments
20 pages