English

Local Quasitriangular Hopf Algebras

Quantum Algebra 2008-05-14 v3 Rings and Algebras

Abstract

We find a new class of Hopf algebras, local quasitriangular Hopf algebras, which generalize quasitriangular Hopf algebras. Using these Hopf algebras, we obtain solutions of the Yang-Baxter equation in a systematic way. The category of modules with finite cycles over a local quasitriangular Hopf algebra is a braided tensor category.

Keywords

Cite

@article{arxiv.math/0601541,
  title  = {Local Quasitriangular Hopf Algebras},
  author = {Shouchuan Zhang and Mark D. Gould and Yao-Zhong Zhang},
  journal= {arXiv preprint arXiv:math/0601541},
  year   = {2008}
}

Comments

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/