Strata of Weyl groups
Representation Theory
2026-02-26 v1 Group Theory
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.
Cite
@article{arxiv.2602.21870,
title = {Strata of Weyl groups},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:2602.21870},
year = {2026}
}
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14 pages