English

The BMR freeness conjecture for the 2-reflection groups

Representation Theory 2016-05-10 v3

Abstract

We prove the freeness conjecture of Broue, Malle and Rouquier for the Hecke algebras associated to the primitive complex 2-reflection groups with a single conjugacy class of reflections.

Keywords

Cite

@article{arxiv.1411.4760,
  title  = {The BMR freeness conjecture for the 2-reflection groups},
  author = {Ivan Marin and Goetz Pfeiffer},
  journal= {arXiv preprint arXiv:1411.4760},
  year   = {2016}
}

Comments

20 pages. Version 2 : the last remaining case (G34) of the conjecture for 2-reflection groups is now proved. Version 3 : additional details provided for the sample case of G24

R2 v1 2026-06-22T07:02:37.251Z