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arxiv: hep-th/9302042 · v1 · pith:Y44SUOTBnew · submitted 1993-02-11 · ✦ hep-th · math.QA

A method for obtaining quantum doubles from the Yang-Baxter R-matrices

classification ✦ hep-th math.QA
keywords quantumalgebrahopfyang-baxteractuallyapproachassociateconstant
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We develop the approach of Faddeev, Reshetikhin, Takhtajan [1] and of Majid [2] that enables one to associate a quasitriangular Hopf algebra to every regular invertible constant solution of the quantum Yang-Baxter equations. We show that such a Hopf algebra is actually a quantum double.

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