Matrix units and generic degrees for the Ariki--Koike algebras

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We compute the generic degrees of the Ariki--Koike algebras by first constructing a basis of matrix units in the semisimple case. As a consequence, we also obtain an explicit isomorphism from any semisimple Ariki--Koike algebra to the group algebra of the corresponding complex reflection group.
Fixes some stupid mistakes in the previous version. 31 pages. LaTeX2e. Uses youngtab.sty

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Representation Theory, Quantum Algebra, 20C08, 20G05, 33D80

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http://salesiana.dossiersoluciones.com/handle/123456789/62072

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108164
 http://arxiv.org/abs/math/0108164

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arXiv