Geodesic
Cores of Ariki-Koike algebras
Documenta mathematica, Tome 26 (2021), pp. 103-124.

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

We study a natural generalization of the notion of cores for $l$-partitions attached with a multicharge $\mathbf{s}\in \mathbb{Z}^l$: the $(e,\mathbf{s})$-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.
Classification : 20C08, 20C20, 05E15
Keywords: Hecke algebras, decomposition matrix, block 
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     author = {Jacon, Nicolas and Lecouvey, C\'edric},
     title = {Cores of {Ariki-Koike} algebras},
     journal = {Documenta mathematica},
     pages = {103--124},
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     volume = {26},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2021__26__a54/}
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Jacon, Nicolas; Lecouvey, Cédric. Cores of Ariki-Koike algebras. Documenta mathematica, Tome 26 (2021), pp. 103-124. http://geodesic.mathdoc.fr/item/DOCMA_2021__26__a54/