37 citations · 96 across the 39 of their papers we have counts for
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Crystal isomorphisms and Mullineux involution II
Nicolas Jacon, Cédric Lecouvey
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 conjectu…
Mullineux involution and crystal isomorphisms
Nicolas Jacon
We develop a new approach for the computation of the Mullineux involution for the symmetric group and its Hecke algebra using the notion of crystal isomorphism and the Iwahori-Mats…
Two maps on affine type A crystals and Hecke algebras
N Jacon
We use the crystal isomorphisms of the Fock space to describe two maps on partitions and multipartitions which naturally appear in the crystal basis theory for quantum groups in af…
Cores of Ariki-Koike algebras
Nicolas Jacon, Cédric Lecouvey
We study a natural generalization of the notion of cores for l-partitions attached with a multi-charge s Z^l : the (e, s)-cores. We rely them both to the combinatorics and th…
Keys and Demazure crystals for Kac-Moody algebras
Nicolas Jacon, Cédric Lecouvey
The Key map is an important tool in the determination of the Demazure crystals associated to Kac-Moody algebras. In finite type A, it can be computed in the tableau realization of…