A Method for Obtaining Quantum Doubles from the Yang-baxter R-matrices

@inproceedings{Vladimirov1993AMF,
title={A Method for Obtaining Quantum Doubles from the Yang-baxter R-matrices},
author={Alexander A. Vladimirov},
year={1993}
}

We develop the approach of refs. [1] and [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. E-mail: alvladim@theor.jinrc.dubna.su 1. It is well known [1] that any invertible constant matrix solution R of the quantum Yang-Baxter equation (QYBE) R12R13R23 = R23R13R12 (1) naturally generates a bialgebra AR = {1, tij} defined by R12T1T2… CONTINUE READING