Crystal isomorphisms and Mullineux involution II
Combinatorics
2023-07-04 v1 Representation Theory
Abstract
We present a new combinatorial and conjectural algorithm for computing the Mullineux involution for the symmetric group and its Hecke algebra. This algorithm is built on a conjectural property of crystal isomorphisms which can be rephrased in a purely combinatorial way.
Keywords
Cite
@article{arxiv.2307.01065,
title = {Crystal isomorphisms and Mullineux involution II},
author = {Nicolas Jacon and Cédric Lecouvey},
journal= {arXiv preprint arXiv:2307.01065},
year = {2023}
}