Dynamical Yang-Baxter Maps with an Invariance Condition

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dc.creatorShibukawa, Youichi
dc.date2007-04-24
dc.date.accessioned2026-07-07T07:57:56Z
dc.date.available2026-07-07T07:57:56Z
dc.descriptionBy means of left quasigroups L=(L, .) and ternary systems, we construct dynamical Yang-Baxter maps associated with L, L, and (.) satisfying an invariance condition that the binary operation (.) of the left quasigroup L defines. Conversely, this construction characterize such dynamical Yang-Baxter maps. The unitary condition of the dynamical Yang-Baxter map is discussed. Moreover, we establish a correspondence between two dynamical Yang-Baxter maps constructed in this paper. This correspondence produces a version of the vertex-IRF correspondence.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0704.3109
dc.identifierhttp://arxiv.org/abs/0704.3109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127827
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject81R50 (Primary); 20F36, 20N05, 20N10 (Secondary)
dc.titleDynamical Yang-Baxter Maps with an Invariance Condition
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