English

From classes in the Weyl group to strata

Representation Theory 2024-11-14 v3

Abstract

In a 2015 paper we have defined a map from the set of conjugacy classes in a Weyl group W to the set of irreducible representations of W (its image parametrizes the strata of a reductive group with Weyl group W). In this paper we provide evidence that this map makes sense even when W is replaced by a noncrystallographic Coxeter group.

Keywords

Cite

@article{arxiv.2408.09584,
  title  = {From classes in the Weyl group to strata},
  author = {G. Lusztig},
  journal= {arXiv preprint arXiv:2408.09584},
  year   = {2024}
}

Comments

17 pages. A section on dihedral groups has been added

R2 v1 2026-06-28T18:16:06.868Z