English

From families in Weyl groups to Springer representations

Representation Theory 2020-10-06 v2

Abstract

Let G be a simple reductive group over the complex numbers. Let W be the Weyl group of G. We propose a description of the Springer representations of W associated to various unipotent classes of G by a purely algebraic method involving the families of various reflection subgroups of W and which is suitable to computer calculations.

Keywords

Cite

@article{arxiv.2006.16159,
  title  = {From families in Weyl groups to Springer representations},
  author = {G. Lusztig},
  journal= {arXiv preprint arXiv:2006.16159},
  year   = {2020}
}

Comments

11 pages

R2 v1 2026-06-23T16:42:24.850Z