Generalized Mullineux involution and perverse equivalences
Representation Theory
2020-07-15 v2 Combinatorics
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 : Losev's "" wall-crossing, and the Ringel duality.
Keywords
Cite
@article{arxiv.1808.06087,
title = {Generalized Mullineux involution and perverse equivalences},
author = {Thomas Gerber and Nicolas Jacon and Emily Norton},
journal= {arXiv preprint arXiv:1808.06087},
year = {2020}
}
Comments
Final version. Proof of Proposition 3.3, Lemma 3.10 and Lemma 3.13 rewritten in more detail