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Article Dans Une Revue Journal of Symbolic Computation Année : 2019

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

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Résumé

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.

Dates et versions

hal-03621310 , version 1 (28-03-2022)

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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⟩
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