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

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

2003-11-03

arxiv.org/abs/math/0311018v3

Mathematics

Representation Theory

37 pages

Scientific paper

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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