Hopf Structures on Minimal Hopf Quivers
Hua-Lin Huang, Yu Ye, Qing Zhao
TL;DR
This paper classifies all Hopf algebra structures derived from minimal Hopf quivers, providing detailed local structural insights into pointed Hopf algebras using quiver methods.
Contribution
It offers a complete classification of Hopf structures on minimal Hopf quivers, advancing understanding of pointed Hopf algebras.
Findings
Classification of Hopf structures on basic cycles and linear chains
Full local structure information for general pointed Hopf algebras
Application of quiver methods to Hopf algebra classification
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Combinatorial Mathematics