Vol. 306, No. 2, 2020

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Generalized Mullineux involution and perverse equivalences

Thomas Gerber, Nicolas Jacon and Emily Norton

Vol. 306 (2020), No. 2, 487–517
Abstract

We define a generalization of the Mullineux involution on multipartitions using the theory of crystals for higher-level Fock spaces. Our generalized Mullineux involution turns up in representation theory via two important derived functors on cyclotomic Cherednik category $\mathsc{𝒪}$: Losev’s “$\kappa =0$” wall-crossing, and Ringel duality.

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