四面体和八面体族的BMR自由度猜想
The BMR freeness conjecture for the tetrahedral and octahedral families
摘要:
我们证明了Broué,Malle和Rouquier关于四面体和八面体族的秩为2的例外复反射群的一般Hecke代数的自由度猜想的有效性,并给出了与有限Coxeter群的经典情形类似的基的描述.
英文摘要:
We prove the validity of the freeness conjecture of Broué, 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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