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arXiv · 1411.1714

On CRDAHA and finite general linear and unitary groups

Bhama Srinivasan
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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 Broué, Malle and Michel, and some results on modular decomposition numbers of finite general groups.

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Bhama Srinivasan. 2014-11-06. On CRDAHA and finite general linear and unitary groups. https://arxiv.org/abs/1411.1714

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