A method for obtaining quantum doubles from the Yang-Baxter R-matrices
High Energy Physics - Theory
2009-10-22 v1 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.hep-th/9302042,
title = {A method for obtaining quantum doubles from the Yang-Baxter R-matrices},
author = {A. A. Vladimirov},
journal= {arXiv preprint arXiv:hep-th/9302042},
year = {2009}
}
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8 pages