JMMO Fock space and Geck-Rouquier classification of simple modules for Hecke algebras
This paper is a survey on the representation theory of Hecke algebras, Ariki-Koike algebras and connections with quantum group.
math.RT↗
arXiv subjects
Nicolas Jacon
Publications and source records attributed to Nicolas Jacon.
Canonical basic sets for Hecke algebras
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 simple modules for this type of algebras.
math.RT↗
On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity
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 unity. Moreover, we determine the parametrization of this set and we give the consequences of these results on the representation theory of Ariki-Koike algebras.
math.RT↗
Modular representations of cyclotomic Hecke algebras of type G(r,p,n)
We give a classification of the simple modules for the cyclotomic Hecke algebras over $\mathbb{C}$ in the modular case. We use the unitriangular shape of the decomposition matrices of Ariki-Koike algebras and Clifford theory.
math.RT↗
An algorithm for the computation of the decomposition matrices for Ariki-Koike algebras
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 generalizes the LLT algorithm.
math.RT↗