Quantization of certain skew-symmetric solutions of the classical Yang-Baxter equation

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dc.creatorEndelman, Robin
dc.creatorHodges, Timothy J.
dc.date2000-03-10
dc.date2000-07-10
dc.date.accessioned2026-07-07T04:34:16Z
dc.date.available2026-07-07T04:34:16Z
dc.descriptionAn explicit quantization is given of certain skew-symmetric solutions of the classical Yang-Baxter, yielding a family of $R$-matrices which generalize to higher dimensions the Jordanian $R$-matrices. Three different approaches to their construction are given: as twists of degenerations of the Shibukawa-Ueno Yang-Baxter operators on meromorphic functions; as boundary solutions of the quantum Yang-Baxter equation; via a vertex-IRF transformation from solutions to the dynamical Yang-Baxter equation.
dc.descriptionSome significant errors and typos corrected
dc.identifierhttps://arxiv.org/abs/math/0003066
dc.identifierhttp://arxiv.org/abs/math/0003066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58839
dc.subjectQuantum Algebra
dc.subject81R50
dc.titleQuantization of certain skew-symmetric solutions of the classical Yang-Baxter equation
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