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research article

Generalized Mullineux Involution And Perverse Equivalences

Gerber, Thomas  
•
Jacon, Nicolas
•
Norton, Emily
June 1, 2020
Pacific Journal Of Mathematics

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 O : Losev's "kappa = 0" wallcrossing, and Ringel duality.

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