Proof of the BMR conjecture for G(20) and G(21)

Ivan Marin (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

We prove two new cases of the Broue-Malle-Rouquier freeness conjecture for the Hecke algebras associated to complex reflection groups, using methods inspired by non-commutative Grobner bases. These two cases are the complex reflection groups of rank 2 called G(20) and G(21) in the Shephard and Todd classification. This reduces the number of remaining unproven cases to 3. (C) 2017 Elsevier Ltd. All rights reserved.

Domaines: Mathématiques [math]

Ivan Marin. Proof of the BMR conjecture for G(20) and G(21). Journal of Symbolic Computation, 2019, 92, pp.1-14. ⟨10.1016/j.jsc.2017.11.015⟩. ⟨hal-03621310⟩