Title
Cleft extensions of weak Hopf algebras
Date Issued
01 April 2020
Access level
open access
Resource Type
journal article
Author(s)
Guccione J. A.
VALQUI HAASE, CHRISTIAN HOLGER
Guccione J. J.
Pontificia Universidad Católica del Perú
Publisher(s)
Academic Press Inc.
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.
Start page
668
End page
710
Volume
547
Language
English
OCDE Knowledge area
Matemáticas
Subjects
DOI
10.1016/j.jalgebra.2019.11.029
Scopus EID
2-s2.0-85076500319
Source
Journal of Algebra
ISSN of the container
00218693
DOI of the container
10.1016/j.jalgebra.2019.11.029
Source funding
Universidad de Buenos Aires
Secretaría de Ciencia y Técnica, Universidad de Buenos Aires
Sponsor(s)
Jorge A. Guccione and Juan J. Guccione were supported by UBACyT 20020150100153BA (UBA).Christian Valqui was supported by PUCP-DGI- ID 453 - CAP 2017-1-0035.
Sources of information: Directorio de Producción Científica Scopus