Classification of Quiver Hopf Algebras and Pointed Hopf Algebras of Type One

Abstract

The quiver Hopf algebras are classified by means of ramification systems with irreducible representations. This leads to the classification of Nichols algebras over group algebras and pointed Hopf algebras of type one.

19 pages; To appear in Bulletin of the Australian Mathematical Society

Cited by in corpus (5)

• On Pointed Hopf Algebras with Weyl Groups of exceptional type
• The character tables of centralizers in Sporadic Simple Groups of $\mathrm{HS}$ and $\mathrm{C}{\mathrm{o}}_3$
• The radicals of (Braided) Lie algebras
• The character tables of centralizers in Sporadic Simple Groups of $\mathrm{McL}$
• On Pointed Hopf Algebras with Sporadic Simple Groups $\mathrm{HS}$ and $Co3$