On quiver-theoretic description for quasitriangularity of Hopf algebras
Quantum Algebra
2010-04-13 v1 Rings and Algebras
Abstract
This paper is devoted to the study of the quasitriangularity of Hopf algebras via Hopf quiver approaches. We give a combinatorial description of the Hopf quivers whose path coalgebras give rise to coquasitriangular Hopf algebras. With a help of the quiver setting, we study general coquasitriangular pointed Hopf algebras and obtain a complete classification of the finite-dimensional ones over an algebraically closed field of characteristic 0.
Keywords
Cite
@article{arxiv.0910.2009,
title = {On quiver-theoretic description for quasitriangularity of Hopf algebras},
author = {Hua-Lin Huang and Gongxiang Liu},
journal= {arXiv preprint arXiv:0910.2009},
year = {2010}
}
Comments
19 pages