Cores of Ariki-Koike algebras

Nicolas Jacon (1) , Cédric Lecouvey (2)

1 LMR - Laboratoire de Mathématiques de Reims
2 IDP - Institut Denis Poisson

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 the notion of weight defined by Fayers. Next we study applications in the context of the block theory for Ariki-Koike algebras.

Domaines: Théorie des représentations [math.RT]; Combinatoire [math.CO]

Nicolas Jacon, Cédric Lecouvey. Cores of Ariki-Koike algebras. Documenta Mathematica, 2021, ⟨10.48550/arXiv.1912.08461⟩. ⟨hal-02416094v2⟩