Cleft extensions of weak Hopf algebras

Guccione J.A.; Guccione J.J.; Valqui C. · Journal of Algebra (2020) · DOI: 10.1016/j.jalgebra.2019.11.029

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.

Instituciones: Pontificia Universidad Católica del Perú