Crystal Isomorphisms and Mullineux Involution II

  • Nicolas Jacon
  • Cédric Lecouvey
DOI: https://doi.org/10.37236/12373

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 reduces in fact to iterations of a very elementary procedure on sequences of integers.

Published
2024-03-22
Issue
Volume 31, Issue 1 (2024)
Article Number
P1.64