2 citations · 2 across the 5 of their papers we have counts for
6 papers
Crystal graphs of higher level q-deformed Fock spaces, Lusztig a-values and Ariki-Koike algebras
Nicolas Jacon
We show that the different labelings of the crystal graph for irreducible highest weight -modules lead to different labelings of the simple…
JMMO Fock space and Geck-Rouquier classification of simple modules for Hecke algebras
Nicolas Jacon
This paper is a survey on the representation theory of Hecke algebras, Ariki-Koike algebras and connections with quantum group.
Canonical basic sets for Hecke algebras
Nicolas Jacon
We give an explicit description of the "canonical basic set'' for all Iwahori-Hecke algebras of finite Weyl groups in "good'' characteristic. We obtain a complete classification of…
Modular representations of cyclotomic Hecke algebras of type G(r,p,n)
Gwenaelle Genet, Nicolas Jacon
We give a classification of the simple modules for the cyclotomic Hecke algebras over in the modular case. We use the unitriangular shape of the decomposition matrices…
An algorithm for the computation of the decomposition matrices for Ariki-Koike algebras
Nicolas Jacon
We give a purely combinatorial algorithm for the computation of the decomposition matrices for Ariki-Koike algebras when the parameters are powers of the same root of unity. It gen…
On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity
Nicolas Jacon
Following ideas of Geck and Rouquier, we show that there exists a ``canonical basic set'' of Specht modules in bijection with the simple modules of Ariki-Koike algebras at roots of…