%0 Journal Article
%T Crystal isomorphisms for irreducible highest weight U_{v}{\hat{sl}}_{e})-modules of higher level
%A Nicolas Jacon
%A C¨¦dric Lecouvey
%J Mathematics
%D 2007
%I arXiv
%X We study the crystal graphs of irreducible $U_{v}(\hat{sl}}_{e})$-modules of higher level l. Generalizing works of the first author, we obtain a simple description of the bijections between the classes of multipartitions which naturally label these graphs: the Uglov multipartitions. This is achieved by expliciting an embedding of the $U_{v}(\hat{sl}}_{e})$-crystals of level l into $U_{v}(\hat{sl}_{\infty})$-crystals associated to highest weight modules.
%U http://arxiv.org/abs/0706.0680v2