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arXiv · 1801.03761

On the Mackey formulas for cyclotomic Hecke algebras and categories O of rational Cherednik algebras

Toshiro Kuwabara·Hyohe Miyachi·Kentaro Wada
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Abstract

In this paper, we shall establish the Mackey formulas in the following two set ups: (i) on the tensor induction and restriction functors on the modules over cyclotomic Hecke algebras (Ariki-Koike algebras) and their standard subalgebras of parabolic subgroups. (ii) on the Bezrukavnikov-Etingof induction and restriction functors among categories O of rational Cherednik algebras for the complex reflection group of type G(r, 1, n) and their parabolic subgroups.

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Toshiro Kuwabara, Hyohe Miyachi, Kentaro Wada. 2018-01-11. On the Mackey formulas for cyclotomic Hecke algebras and categories O of rational Cherednik algebras. https://arxiv.org/abs/1801.03761

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