Cleft extensions of weak Hopf algebras

被引：2
|
作者：
Guccione, Jorge A. [1 ,2 ]
Guccione, Juan J. [1 ,3 ]
Valqui, Christian [4 ,5 ]
机构：
[1] UBA, Fac Ciencias Exactas & Nat, Dept Matemat, Pabellon 1,Ciudad Univ,Intendente Guiraldes 2160, Buenos Aires, DF, Argentina
[2] UBA, Fac Ciencias Exactas & Nat, Inst Invest Matemat Luis A Santalo, Pabellon 1,Ciudad Univ,Intendente Guiraldes 2160, Buenos Aires, Argentina
[3] Consejo Nacl Invest Cient & Tecn, Inst Argentino Matemat, Savedra 15 3Er Piso,C1083ACA, Buenos Aires, DF, Argentina
[4] PUCP, Secc Matemat, Av Univ 1801, Lima 32, Peru
[5] IMCA, Calle Biol 245, Lima 12, Peru
来源：
JOURNAL OF ALGEBRA | 2020年 / 547卷
关键词：
Symmetric categories; Weak Hopf algebras; Cleft extension; Weak crossed product; CROSSED-PRODUCTS;
D O I：
10.1016/j.jalgebra.2019.11.029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：668 / 710
页数：43
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