An algorithm for the computation of the decomposition matrices for Ariki-Koike algebras

Nicolas Jacon (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

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.

Mots clés: canonical basis; Ariki-Koike algebras; decomposition matrices; LLT algorithm; a-value; canonical basis.

Domaines: Théorie des représentations [math.RT]

Nicolas Jacon. An algorithm for the computation of the decomposition matrices for Ariki-Koike algebras. Journal of Algebra, 2005, No. 1 (292), pp.100-109. ⟨hal-00002857⟩