On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity
Jacon, Nicolas
J. Math. Kyoto Univ., Tome 44 (2004) no. 4, p. 729-767 / Harvested from Project Euclid
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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.
Publié le : 2004-05-15
Classification:  20C08 
@article{1250281696,
     author = {Jacon, Nicolas},
     title = {On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity},
     journal = {J. Math. Kyoto Univ.},
     volume = {44},
     number = {4},
     year = {2004},
     pages = { 729-767},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1250281696}
}

Jacon, Nicolas. On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity. J. Math. Kyoto Univ., Tome 44 (2004) no. 4, pp.  729-767. http://gdmltest.u-ga.fr/item/1250281696/