English

Proof of the BMR conjecture for G20 and G21

Representation Theory 2017-02-01 v1 Rings and Algebras

Abstract

We prove two new cases of the Brou\'e-Malle-Rouquier freeness conjecture for the Hecke algebras associated to complex reflection groups. These two cases are the complex reflection groups of rank 2 called G20G_{20} and G21G_{21} in the Shephard and Todd classification. This reduces the number of remaining unproven cases to 3.

Keywords

Cite

@article{arxiv.1701.09017,
  title  = {Proof of the BMR conjecture for G20 and G21},
  author = {Ivan Marin},
  journal= {arXiv preprint arXiv:1701.09017},
  year   = {2017}
}