Symmetry, Integrable Chain Models and Stochastic Processes

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A general way to construct chain models with certain Lie algebraic or quantum Lie algebraic symmetries is presented. These symmetric models give rise to series of integrable systems. As an example the chain models with $A_n$ symmetry and the related Temperley-Lieb algebraic structures and representations are discussed. It is shown that corresponding to these $A_n$ symmetric integrable chain models there are exactly solvable stationary discrete-time (resp. continuous-time) Markov chains whose spectra of the transition matrices (resp. intensity matrices) are the same as the ones of the corresponding integrable models.
34 pages, Latex

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High Energy Physics - Theory, Condensed Matter, Quantum Algebra, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/152703

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9605130
 http://arxiv.org/abs/hep-th/9605130
 Rev.Math.Phys. 10 (1998) 723-750

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arXiv