info:eu-repo/semantics/article
Cleft extensions of weak Hopf algebras
Fecha
2020-04Registro en:
Guccione, Jorge Alberto; Guccione, Juan Jose; Valqui, Christian; Cleft extensions of weak Hopf algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 547; 4-2020; 668-710
0021-8693
CONICET Digital
CONICET
Autor
Guccione, Jorge Alberto
Guccione, Juan Jose
Valqui, Christian
Resumen
In this paper we study the theory of cleft extensions for a weak bialgebra H. Among other results, we determine when two unitary crossed products of an algebra A by H are equivalent and we prove that if H is a weak Hopf algebra, then the categories of H-cleft extensions of an algebra A, and of unitary crossed products of A by H, are equivalent.