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

Nicolas Jacon
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Abstract

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.

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BibTeXRIS

Nicolas Jacon. 2004-10-14. On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity. https://arxiv.org/abs/math/0311018

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