On Isomorphisms between Certain Yetter-Drinfel'd Hopf Algebras

TL;DR

This paper investigates the conditions under which specific families of Yetter-Drinfel'd Hopf algebras and their Radford biproducts are isomorphic, clarifying their structural relationships.

Contribution

It identifies isomorphisms between two families of Yetter-Drinfel'd Hopf algebras and their Radford biproducts, extending previous classifications.

Findings

Certain families of Yetter-Drinfel'd Hopf algebras are isomorphic under specific conditions

Radford biproducts of these algebras can also be classified for isomorphism

The results clarify the structural relationships among these Hopf algebras

Abstract

For two families of Yetter-Drinfel'd Hopf algebras considered earlier by the authors, we determine which of them are isomorphic. We also determine which of their Radford biproducts are isomorphic.