Geometric Crystals on Unipotent Groups and Generalized Young Tableaux

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We define geometric/unipotent crystal structure on unipotent subgroups of semi-simple algebraic groups. We shall show that in $A_n$-case, their ultra-discretizations coincide with crystals obtained by generalizing Young tableaux.
LaTeX 17 pages

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Quantum Algebra, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/70456

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403234
 http://arxiv.org/abs/math/0403234

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arXiv