The BMR freeness conjecture for the first two families of the exceptional groups of rank 2

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• 作者：Eirini Chavli ^{eirini.chavli@mathematik.uni-stuttgart.de}
• 刊名：Comptes Rendus Mathematique
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：355
• 期：1
• 页码：1-4
• 全文大小：250 K
• 卷排序：355

文摘

The freeness conjecture of Broué, Malle and Rouquier for the generic Hecke algebras associated with complex reflection groups is still open for 14 cases, which cover almost all the exceptional complex reflection groups of rank 2. We prove this conjecture for 9 of these remaining cases, giving a basis similar to the classical case of the finite Coxeter groups.