45 citations · 289 across the 22 of their papers we have counts for
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hep-th1993★ 31 cited
A Closed Expression for the Universal R-Matrix in a Non-Standard Quantum Double
A. A. Vladimirov
In recent papers of the author, a method was developed for constructing quasitriangular Hopf algebras (quantum groups) of the quantum-double type. As a by-product, a novel non-stan…
hep-th1993★ 5 cited
On the Hopf algebras generated by the Yang-Baxter R-matrices
A. A. Vladimirov
We reformulate the method recently proposed for constructing quasitriangular Hopf algebras of the quantum-double type from the R-matrices obeying the Yang-Baxter equations. Underly…
hep-th1993★ 9 cited
A method for obtaining quantum doubles from the Yang-Baxter R-matrices
A. A. Vladimirov
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 so…