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26 April 2024

» arxiv » math.RT/0311018

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On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity
Nicolas Jacon ;
Date:	3 Nov 2003
Subject:	Representation Theory MSC-class: 20C08 \| math.RT
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.
Source:	arXiv, math.RT/0311018
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