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arXiv · 1607.07023

The BMR freeness conjecture for the tetrahedral and octahedral families

Eirini Chavli
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Abstract

We prove the validity of the freeness conjecture of Brou\'e, Malle and Rouquier for the generic Hecke algebras associated to the exceptional complex reflection groups of rank 2 belonging to the tetrahedral and octahedral families, and we give a description of the basis similar to the classical case of the finite Coxeter groups.

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Eirini Chavli. 2016-07-24. The BMR freeness conjecture for the tetrahedral and octahedral families. https://arxiv.org/abs/1607.07023

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