On Biproducts and Extensions
Yevgenia Kashina, Yorck Sommerhaeuser
TL;DR
This paper investigates how Radford biproducts of specific eight-dimensional Yetter-Drinfel'd Hopf algebras over a group of order 4 can be expressed as extensions of Hopf algebras, providing structural insights.
Contribution
It characterizes the extension structures of Radford biproducts for certain Hopf algebras over an elementary abelian group of order 4.
Findings
Radford biproducts can be expressed as extensions of Hopf algebras under certain conditions
Structural descriptions of these extensions are provided for specific eight-dimensional cases
The work advances understanding of the algebraic structure of Yetter-Drinfel'd Hopf algebras
Abstract
We describe in which ways the Radford biproducts of certain eight-dimensional Yetter-Drinfel'd Hopf algebras over the elementary abelian group of order 4 can be written as extensions of Hopf algebras.
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