Generalized Path Algebras and Pointed Hopf Algebras
Rings and Algebras
2012-01-10 v4 Combinatorics
Abstract
Most of pointed Hopf algebras of dimension with large coradical are shown to be generalized path algebras. By the theory of generalized path algebras it is obtained that the representations, homological dimensions and radicals of these Hopf algebras. The relations between the radicals of path algebras and connectivity of directed graphs are given.
Cite
@article{arxiv.math/0310428,
title = {Generalized Path Algebras and Pointed Hopf Algebras},
author = {Shouchuan Zhang and Yao-Zhong Zhang and Xijing Guo},
journal= {arXiv preprint arXiv:math/0310428},
year = {2012}
}
Comments
16page