A method of construction of finite-dimensional triangular semisimple Hopf algebras
Quantum Algebra
2007-05-23 v1
Abstract
The goal of this paper is to give a new method of constructing finite-dimensional semisimple triangular Hopf algebras, including minimal ones which are non-trivial (i.e. not group algebras). The paper shows that such Hopf algebras are quite abundant. It also discovers an unexpected connection of such Hopf algebras with bijective 1-cocycles on finite groups and set-theoretical solutions of the quantum Yang-Baxter equation defined by Drinfeld.
Keywords
Cite
@article{arxiv.math/9806072,
title = {A method of construction of finite-dimensional triangular semisimple Hopf algebras},
author = {Pavel Etingof and Shlomo Gelaki},
journal= {arXiv preprint arXiv:math/9806072},
year = {2007}
}
Comments
9 pages, amstex