The classical Hom-Yang-Baxter equation and Hom-Lie bialgebras

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dc.creatorYau, Donald
dc.date2009-05-12
dc.date.accessioned2026-07-07T13:14:08Z
dc.date.available2026-07-07T13:14:08Z
dc.descriptionMotivated by recent work on Hom-Lie algebras and the Hom-Yang-Baxter equation, we introduce a twisted generalization of the classical Yang-Baxter equation (CYBE), called the classical Hom-Yang-Baxter equation (CHYBE). We show how an arbitrary solution of the CYBE induces multiple infinite families of solutions of the CHYBE. We also introduce the closely related structure of Hom-Lie bialgebras, which generalize Drinfel'd's Lie bialgebras. In particular, we study the questions of duality and cobracket perturbation and the sub-classes of coboundary and quasi-triangular Hom-Lie bialgebras.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0905.1890
dc.identifierhttp://arxiv.org/abs/0905.1890
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230114
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W30, 17A30, 17B37, 17B62, 81R50
dc.titleThe classical Hom-Yang-Baxter equation and Hom-Lie bialgebras
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