Yang-Baxter maps: dynamical point of view

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dc.creatorVeselov, A. P.
dc.date2006-12-28
dc.date.accessioned2026-07-07T07:37:29Z
dc.date.available2026-07-07T07:37:29Z
dc.descriptionA review of some recent results on the dynamical theory of the Yang-Baxter maps (also known as set-theoretical solutions to the quantum Yang-Baxter equation) is given. The central question is the integrability of the transfer dynamics. The relations with matrix factorisations, matrix KdV solitons, Poisson Lie groups, geometric crystals and tropical combinatorics are discussed and demonstrated on several concrete examples.
dc.description24 pages. Extended version of lectures given at the meeting "Combinatorial Aspect of Integrable Systems" (RIMS, Kyoto, July 2004)
dc.identifierhttps://arxiv.org/abs/math/0612814
dc.identifierhttp://arxiv.org/abs/math/0612814
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120790
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject81R12, 37K10
dc.titleYang-Baxter maps: dynamical point of view
dc.typetext

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