Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Arbitrary Rank 2 Cases

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We describe the crystal bases of the modified quantum algebras and give the explicit form of the highest (or lowest) weight vector of its connected component $B_0(λ)$ containing the unit element for arbitrary rank 2 cases. We also present the explicit form of $B_0(λ)$ containing the highest (or lowest) weight vector by the polyhedral realization method.
26 pages, LaTeX

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Quantum Algebra, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/70425

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403192
 http://arxiv.org/abs/math/0403192

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arXiv