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arXiv:math/0311018 [math.RT]AbstractReferencesReviewsResources

On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity

Nicolas Jacon

Published 2003-11-03, updated 2004-10-14Version 3

Following ideas of Geck and Rouquier, we show that there exists a ``canonical basic set'' of Specht modules in bijection with the simple modules of Ariki-Koike algebras at roots of unity. Moreover, we determine the parametrization of this set and we give the consequences of these results on the representation theory of Ariki-Koike algebras.

Comments: 37 pages
Categories: math.RT
Subjects: 20C08
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