Cleft extensions of a family of braided Hopf algebras
Mauricio Da Rocha, Jorge A. Guccione, Juan J. Guccione
TL;DR
This paper introduces a new family of braided Hopf algebras that generalize existing rank 1 Hopf algebras and investigates their cleft extensions, expanding the understanding of their algebraic structure.
Contribution
It presents a novel family of braided Hopf algebras extending previous models and analyzes their cleft extensions, offering new insights into their algebraic properties.
Findings
Generalization of rank 1 Hopf algebras
Characterization of cleft extensions for the new family
Enhanced understanding of algebraic structure
Abstract
We introduce a family of braided Hopf algebras that generalizes the rank 1 Hopf algebras introduced by Krop anad Radford and we study its cleft extensions
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