37 citations · 96 across the 39 of their papers we have counts for
39 papers · 1 filter
Entropy of affine permutations and universality of affine atomic lengths
Nathan Chapelier-Laget, Thomas Gerber, Nicolas Jacon +1
We introduce and study the notion of entropy of affine permutations and prove that it coincides with the atomic length associated with the sum of the fundamental weights for a type…
On the computation of the canonical basis for irreducible highest weight -module
Nicolas Jacon, Abel Lacabanne
We study canonical basis elements in higher-level Fock spaces associated with the quantum group , which are conjecturally related to Calogero-Moser theor…
Blocks of Ariki-Koike algebras and level-rank duality
David Declercq, Nicolas Jacon
We study the blocks for Ariki-Koike algebras using a general notion of core for -partitions. We interpret the action of the affine symmetric group on the blocks in the context o…
Generalised hook lengths and Schur elements for Hecke algebras
Maria Chlouveraki, Jean-Baptiste Gramain, Nicolas Jacon
We compare two generalisations of the notion of hook lengths for partitions. We apply this in the context of the modular representation theory of Ariki-Koike algebras. We show that…
On Calogero-Moser cellular characters for imprimitive complex reflection groups
Nicolas Jacon, Abel Lacabanne
We study the relationship between Calogero-Moser cellular characters and characters defined from vectors of a Fock space of type . Using this interpretation, we show th…
Defect in cyclotomic Hecke algebras
Maria Chlouveraki, Nicolas Jacon
The complexity of a block of a symmetric algebra can be measured by the notion of defect, a numerical datum associated with each of the simple modules contained in the block. Geck…