Crystal graphs of higher level q-deformed Fock spaces, Lusztig a-values and Ariki-Koike algebras
Nicolas Jacon
Abstract
We show that the different labelings of the crystal graph for irreducible highest weight U\q (sl\e)-modules lead to different labelings of the simple modules for non semisimple Ariki-Koike algebras by using Lusztig a-values.
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