Parametrization of supercuspidal representations of depth zero for some simple adjoint groups
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.
Fields of Study & Subjects
Advanced Algebra and Geometry
Finite Group Theory Research
Geometric and Algebraic Topology
Publication details
- Journal / source
- Transactions of the American Mathematical Society
- Publication date
- 4 April 2026
- Language
- EN