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arXiv · 2602.21870

Strata of Weyl groups

G. Lusztig
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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.

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G. Lusztig. 2026-02-25. Strata of Weyl groups. https://arxiv.org/abs/2602.21870

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