English

On CRDAHA and finite general linear and unitary groups

Representation Theory 2014-11-07 v1

Abstract

We show a connection between Lusztig induction operators in finite general linear and unitary groups and parabolic induction in cyclotomic rational double affine Hecke algebras. Two applications are given: an explanation of a bijection result of Brou\'e, Malle and Michel, and some results on modular decomposition numbers of finite general groups.

Keywords

Cite

@article{arxiv.1411.1714,
  title  = {On CRDAHA and finite general linear and unitary groups},
  author = {Bhama Srinivasan},
  journal= {arXiv preprint arXiv:1411.1714},
  year   = {2014}
}

Comments

15 pages