English

Precuspidal families and indexing of Weyl group representations

Representation Theory 2023-11-02 v3

Abstract

We define precuspidal families in proper parabolic subgroups of a Weyl group and we show how to use them to index the irreducible representations of that Weyl group in terms of certain pairs of finite groups. Some additional material is added.

Keywords

Cite

@article{arxiv.2304.05130,
  title  = {Precuspidal families and indexing of Weyl group representations},
  author = {G. Lusztig},
  journal= {arXiv preprint arXiv:2304.05130},
  year   = {2023}
}

Comments

17 pages