Toshiro Kuwabara, Hyohe Miyachi, Kentaro Wada
Published 2018-01-11Version 1
In this paper, we shall establish the Mackey formulas in the following three set ups: (i) on the tensor induction and restriction functors on the modules over cyclo- tomic 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. (iii) on the Bezrukavnikov-Etingof induction and restriction functors among categories O of rational Cherednik algebras for the finite Weyl group and their parabolic subgroups.
Rational Cherednik algebras and categorification
On isomorphisms of certain functors for Cherednik algebras
Blocks of category $\mathcal{O}$ for rational Cherednik algebras and of cyclotomic Hecke algebras of type G(r,p,n)
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