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Proof of the Broué–Malle–Rouquier Conjecture in Characteristic Zero (After I. Losev and I. Marin—G. Pfeiffer)

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Abstract

We explain a proof of the Broué–Malle–Rouquier conjecture on Hecke algebras of complex reflection groups, stating that the Hecke algebra of a finite complex reflection group W is free of rank |W| over the algebra of parameters, over a field of characteristic zero. This is based on previous work of Losev, Marin– Pfeiffer, and Rains and the author.

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Acknowledgements

The author thanks I. Marin for many useful comments and references.

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  1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

    Pavel Etingof

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  1. Pavel Etingof
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Correspondence to Pavel Etingof.

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Etingof, P. Proof of the Broué–Malle–Rouquier Conjecture in Characteristic Zero (After I. Losev and I. Marin—G. Pfeiffer). Arnold Math J. 3, 445–449 (2017). https://doi.org/10.1007/s40598-017-0069-7

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  • DOI: https://doi.org/10.1007/s40598-017-0069-7

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