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ON THE MACKEY FORMULAS FOR CYCLOTOMIC HECKE ALGEBRAS AND CATEGORIES ℴ OF RATIONAL CHEREDNIK ALGEBRAS

Kuwabara, Toshiro 大阪大学 DOI:10.18910/78993

2021.01

概要

In this paper, we shall establish the Mackey formulas in the following two setups:
(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 [3] among categoriesℴ [11] of rational Cherednik algebras for the complex reflection group of type G(r, 1, n) and their parabolic subgroups.

参考文献

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