Parametrization of supercuspidal representations of depth zero for some simple adjoint groups
Representation Theory
2025-04-25 v1 Number Theory
Abstract
We construct a surjective map from the set of conjugacy classes of depth-zero cuspidal enhanced L-parameters to that of isomorphism classes of depth-zero supercuspidal representations for simple adjoint groups, and check the bijectivity in various cases. We also prove that the Hiraga--Ichino--Ikeda conjecture on the formal degree of essentially square-integrable irreducible representations holds for this parametrization if it is bijective.
Cite
@article{arxiv.2504.17225,
title = {Parametrization of supercuspidal representations of depth zero for some simple adjoint groups},
author = {Amoru Fujii},
journal= {arXiv preprint arXiv:2504.17225},
year = {2025}
}