广义路代数与点Hopf代数

Generalized Path Algebras and Pointed Hopf Algebras

中文关键词:  广义路代数  Hopf代数  根.

英文关键词:generalized path algebra  Hopf algebra  radical.

中文摘要:

      本文证明了大部分带有大余根的$p^m-$维点Hopf代数是广义路代数;利用广义路代数的理论得到了这些Hopf代数的表示、同调维数以及根;并且给出了路代数的根与有向图的连通性之间的关系.

英文摘要:

      Most of pointed Hopf algebras of dimension $p^m$ with large coradical are shown to be generalized path algebras. By the theory of generalized path algebras, the representations, homological dimensions and radicals of these Hopf algebras are obtained. The relations between the radicals of path algebras and connectivity of directed graphs are given.