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26 April 2024

» arxiv » math.RT/0504267

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Crystal graphs of higher level q-deformed Fock spaces, Lusztig a-values and Ariki-Koike algebras
Nicolas Jacon ;
Date:	13 Apr 2005
Subject:	Representation Theory; Quantum Algebra MSC-class: 20C08;17B37 \| math.RT math.QA
Affiliation:	LMNO
Abstract:	We show that the different labelings of the crystal graph for irreducible highest weight $mathcal{U}\_q (hat{mathfrak{sl}}\_e)$-modules lead to different labelings of the simple modules for non semisimple Ariki-Koike algebras by using Lusztig $a$-values.
Source:	arXiv, math.RT/0504267
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