Geodesic
Schur elements for the Ariki-Koike algebra and applications
Journal of Algebraic Combinatorics, Tome 35 (2012) no. 2, pp. 291-311.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study the Schur elements associated to the simple modules of the Ariki-Koike algebra. We first give a cancellation-free formula for them so that their factors can be easily read and programmed. We then study direct applications of this result. We also complete the determination of the canonical basic sets for cyclotomic Hecke algebras of type $G( l, p, n)$ in characteristic 0.
Keywords: keywords Hecke algebras, complex reflection groups, Schur elements, blocks, basic sets 
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     title = {Schur elements for the {Ariki-Koike} algebra and applications},
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Chlouveraki, Maria; Jacon, Nicolas. Schur elements for the Ariki-Koike algebra and applications. Journal of Algebraic Combinatorics, Tome 35 (2012) no. 2, pp. 291-311. http://geodesic.mathdoc.fr/item/JAC_2012__35_2_a1/