On the Hopf algebras generated by the Yang-Baxter R-matrices
High Energy Physics - Theory
2009-10-22 v1 Quantum Algebra
Abstract
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. Underlying algebraic structures of the method are elucidated and an illustration of its facilities is given. The latter produces an example of a new quasitriangular Hopf algebra. The corresponding universal R-matrix is presented as a formal power series.
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Cite
@article{arxiv.hep-th/9302043,
title = {On the Hopf algebras generated by the Yang-Baxter R-matrices},
author = {A. A. Vladimirov},
journal= {arXiv preprint arXiv:hep-th/9302043},
year = {2009}
}
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10 pages