Polyhedral Realizations of Crystal Bases for Integrable Highest Weight Modules

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We give a general way of representing the crystal (base) corresponding to the intgrable highest weight modules of quantum Kac-Moody algebras, which is called polyhedral realizations. This is applied to describe explicitly the crystal bases of integrable highest weight modules for arbitrary rank 2 Kac-Moody algebra cases, the classical A_n-case and the affine A^{(1)}_{n-1}-case.
LaTeX, 27 pages, some reference is added

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Quantum Algebra, Combinatorics, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/77047

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9806085
 http://arxiv.org/abs/math/9806085

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arXiv