Morita equivalences of Ariki-Koike algebras

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We prove that every Ariki-Koike algebra is Morita equivalent to a direct sum of tensor products of smaller Ariki-Koike algebras which have q-connected parameter sets. A similar result is proved for the cyclotomic q-Schur algebras. Combining our results with work of Ariki and Uglov, the decomposition numbers for the Ariki-Koike algebras defined over fields of characteristic zero are now known in principle.
LaTeX 2e file. 30 pages. Submitted for publication

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Representation Theory, Combinatorics, 16G99, 20C20, 20G05

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http://salesiana.dossiersoluciones.com/handle/123456789/58968

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0004014
 http://arxiv.org/abs/math/0004014

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arXiv