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arXiv 2014-11-06 4 views

On CRDAHA and finite general linear and unitary groups

Srinivasan, Bhama

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We show a connection between Lusztig induction operators in finite general linear and unitary groups and parabolic induction in cyclotomic rational double affine Hecke algebras. Two applications are given: an explanation of a bijection result of Broué, Malle and Michel, and some results on modular decomposition numbers of finite general groups.

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