Strata of Weyl groups
Abstract
A Weyl group W is a union of strata (certain subsets which are unions of conjugacy classes) which are the nonempty fibres of a map from W to the set of irreducible representations of W. We give an explicit description of strata in terms of a certain modified centralizer group. We also define superstrata of a connected reductive group and state a conjecture about them.
Fields of Study & Subjects
Advanced Algebra and Geometry
Finite Group Theory Research
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 25 February 2026
- Language
- EN
- Document type
- Preprint