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On CRDAHA and finite general linear and unitary groups

Published 6 Nov 2014 in math.RT | (1411.1714v1)

Abstract: 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 Brou\'e, Malle and Michel, and some results on modular decomposition numbers of finite general groups.

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