Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Type A

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We describe the crystal bases of modified quantum algebras and its connected component containing ``zero vector''by the polyhedral realization method for the types A_n and A^(1)_1. We also present the explicit form of the unique highest weight vector in the connected component.
22 pages, LaTeX

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Quantum Algebra, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/69810

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401087
 http://arxiv.org/abs/math/0401087

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arXiv