Cleft extensions of weak Hopf algebras
Rings and Algebras
2019-07-11 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1811.02909,
title = {Cleft extensions of weak Hopf algebras},
author = {Jorge A. Guccione and Juan J. Guccione and Christian Valqui},
journal= {arXiv preprint arXiv:1811.02909},
year = {2019}
}
Comments
35 pages. We improved the presentation