Solving Baxter's TQ-equation via representation theory

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Baxter's TQ-equation is solved for the six-vertex model using the representation theory of quantum groups at roots of unity. A novel simplified construction of the Q-operator is given depending on a new free parameter. Specializing this general construction to even roots of unity and lattices with an odd number of columns two linearly independent operator solutions of Baxter's TQ equation are obtained as special limits.
13 pages. Submitted to the Proceedings "Non-Commutative Geometry & Representation Theory in Mathematical Physics", July 2004, Karlstads Universitet, Karlstad, Sweden. Improved introduction and references added

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Mathematical Physics, Statistical Mechanics, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/97923

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0411034
 http://arxiv.org/abs/math-ph/0411034
 in "Non-Commutative Geometry and Representation Theory in Mathematical Physics" Contemporary Mathematics v391, eds J. Fuchs et al, AMS 2005 (pp 199-211)

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arXiv