Crystal Graphs of Higher Level q-deformed Fock Spaces, Lusztig a-values and Ariki–Koike Algebras
by Jacon, Nicolas
We show that the different labelings of the crystal graph for irreducible highest weight $\mathcal{U}_q (\widehat{\mathfrak{sl}}_e)$-modules lead to different labelings of the simple modules for non semisimple Ariki–Koike algebras by using Lusztig a-values.
DOI: 10.1007/s10468-007-9081-2
Online Date: 7/28/2007
Print publication date: 12/1/2007
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