Abstract
Following the ideas of M.Geck and R.Rouquier in [19], we show that there exists a “canonical basic set” of Specht modules in bijection with the set of 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.
Citation
Nicolas Jacon. "On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity." J. Math. Kyoto Univ. 44 (4) 729 - 767, 2004. https://doi.org/10.1215/kjm/1250281696
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