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arXiv · 0706.0680

Crystal isomorphisms for irreducible highest weight U_{v}{\hat{sl}}_{e})-modules of higher level

Nicolas Jacon·Cédric Lecouvey
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Abstract

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.

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BibTeXRIS

Nicolas Jacon, Cédric Lecouvey. 2007-10-24. Crystal isomorphisms for irreducible highest weight U_{v}{\hat{sl}}_{e})-modules of higher level. https://arxiv.org/abs/0706.0680

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