Hopf Structures on Minimal Hopf Quivers

math.QA

/ Authors

/ Abstract

In this paper we investigate pointed Hopf algebras via quiver methods. We classify all possible Hopf structures arising from minimal Hopf quivers, namely basic cycles and the linear chain. This provides full local structure information for general pointed Hopf algebras.

Hopf Structures on Minimal Hopf Quivers

math.QA

/ Authors

Hua-Lin Huang, Yu Ye, Qing Zhao

/ Abstract

In this paper we investigate pointed Hopf algebras via quiver methods. We classify all possible Hopf structures arising from minimal Hopf quivers, namely basic cycles and the linear chain. This provides full local structure information for general pointed Hopf algebras.