Symmetry, Integrable Chain Models and Stochastic Processes

dc.creatorAlbeverio, Sergio
dc.creatorFei, Shao-Ming
dc.date1996-05-18
dc.date.accessioned2026-07-07T09:14:32Z
dc.date.available2026-07-07T09:14:32Z
dc.descriptionA 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.
dc.description34 pages, Latex
dc.identifierhttps://arxiv.org/abs/hep-th/9605130
dc.identifierhttp://arxiv.org/abs/hep-th/9605130
dc.identifierRev.Math.Phys. 10 (1998) 723-750
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152703
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.subjectQuantum Algebra
dc.subjectExactly Solvable and Integrable Systems
dc.titleSymmetry, Integrable Chain Models and Stochastic Processes
dc.typetext

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