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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages

Scientific paper

10.1142/S0217732393001045

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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