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arXiv 0710.0776math.RT
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关于复反射群的分圆Hecke代数

On the cyclotomic Hecke algebras of complex reflection groups

Maria Chlouveraki

摘要:

继定义Rouquier的“家庭的字符”的外尔群和其推广的情况下,复杂的反射群,已经出现在工作的Broue-Kim和马勒Rouquier,我们表明,这些“家庭”依赖于一个数字数据的组,它的“本质超平面”。利用这一特征,我们提供了所有例外复反射群的分圆Hecke代数的Rouquier块的确定算法和结果。

英文摘要:

Following the definition of Rouquier for the "families of characters" of a Weyl group and its generalization to the case of complex reflection groups, already appeared in the works of Broue-Kim and Malle-Rouquier, we show that these "families" depend on a numerical datum of the group, its "essential hyperplanes". Using this characterization, we provide the algorithm and the results of the determination of the Rouquier blocks of the cyclotomic Hecke algebras of all exceptional complex reflection groups.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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