Cleft extensions of weak Hopf algebras

Jorge A. Guccione; Juan J. Guccione; Christian Valqui

Cleft extensions of weak Hopf algebras

Jorge A. Guccione, Juan J. Guccione, Christian Valqui

Sección de Matemáticas

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

2 Citas (Scopus)

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.

Idioma original	Español
Páginas (desde-hasta)	668-710
Número de páginas	43
Publicación	Journal of Algebra
Volumen	547
Estado	Publicada - 1 abr. 2020

Citar esto

@article{78018172119441a2a5127bcabb6b04e1,

title = "Cleft extensions of weak Hopf algebras",

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.",

author = "Guccione, \{Jorge A.\} and Guccione, \{Juan J.\} and Christian Valqui",

year = "2020",

month = apr,

day = "1",

language = "Espa{\~n}ol",

volume = "547",

pages = "668--710",

journal = "Journal of Algebra",

issn = "0021-8693",

}

TY - JOUR

T1 - Cleft extensions of weak Hopf algebras

AU - Guccione, Jorge A.

AU - Guccione, Juan J.

AU - Valqui, Christian

PY - 2020/4/1

Y1 - 2020/4/1

N2 - 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.

AB - 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.

M3 - Artículo

SN - 0021-8693

VL - 547

SP - 668

EP - 710

JO - Journal of Algebra

JF - Journal of Algebra

ER -