Crystal isomorphisms and Mullineux involution II - Archive ouverte HAL
Journal Articles The Electronic Journal of Combinatorics Year : 2024

Crystal isomorphisms and Mullineux involution II

Nicolas Jacon
  • Function : Author
Laboratoire de Mathématiques de Reims
Cédric Lecouvey
  • Function : Author
Institut Denis Poisson

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.

Domains

Representation Theory [math.RT] Combinatorics [math.CO]
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https://hal.science/hal-04144677

Submitted on : Monday, July 3, 2023-2:54:46 PM

Last modification on : Monday, July 1, 2024-3:34:05 PM

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Dates and versions

hal-04144677 , version 1 (03-07-2023)

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Nicolas Jacon, Cédric Lecouvey. Crystal isomorphisms and Mullineux involution II. The Electronic Journal of Combinatorics, 2024, 31 (1), pp.1-64. ⟨hal-04144677⟩

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