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| HAL: hal-00151866, version 2 |
| arXiv: 0706.0680 |
| Detailed view |  Export this paper |
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| Algebras and Representation Theory 13 (2010) 467-489 |
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| Available versions: | v1 (2007-06-05) | v2 (2007-10-24) |
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| Crystal isomorphisms for irreducible highest weight $U_{v}{\hat{sl}}_{e})$-modules of higher level |
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| Nicolas Jacon 1Cédric Lecouvey 2 |
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| (2010) |
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| 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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| 1: | Laboratoire de Mathématiques (LM-Besançon) |
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CNRS : UMR6623 – Université de Franche-Comté |
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| 2: | Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville (LMPA) |
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Université du Littoral Côte d'Opale : EA2597 |
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| Subject | : | Mathematics/Representation Theory |
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| hal-00151866, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00151866 | |
| oai:hal.archives-ouvertes.fr:hal-00151866 | |
| From: Nicolas Jacon | |
| Submitted on: Wednesday, 24 October 2007 09:28:26 | |
| Updated on: Friday, 25 June 2010 08:54:25 | |
