Affine Geometric Crystals and Limit of Perfect Crystals

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For every non-exceptional affine Lie algebra, we explicitly construct a positive geometric crystal associated with a fundamental representation. We also show that its ultra-discretization is isomorphic to the limit of certain perfect crystals of the Langlands dual affine Lie algebra.
46 pages

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Quantum Algebra, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/106439

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512657
 http://arxiv.org/abs/math/0512657

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arXiv