Monomial Relization of Crystal Bases for Special Linear Lie Algebras

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We give a new realization of crystal bases for finite dimensional irreducible modules over special linear Lie algebras using the monomials introduced by H. Nakajima. We also discuss the connection between this monomial realization and the tableau realization given by Kashiwara and Nakashima.
15 pages

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Representation Theory, 81R50; 05E10

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http://salesiana.dossiersoluciones.com/handle/123456789/66834

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303232
 http://arxiv.org/abs/math/0303232

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arXiv