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arxiv: 1411.1714 · v1 · pith:BXKPTIS7new · submitted 2014-11-06 · 🧮 math.RT

On CRDAHA and finite general linear and unitary groups

classification 🧮 math.RT
keywords finitegeneralgroupsinductionlinearunitaryaffinealgebras
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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 Brou\'e, Malle and Michel, and some results on modular decomposition numbers of finite general groups.

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