GLOBALIZATION OF TWISTED PARTIAL HOPF ACTIONS

被引:15
作者
Alves, Marcelo M. S. [1 ]
Batista, Eliezer [2 ]
Dokuchaev, Michael [3 ]
Paques, Antonio [4 ]
机构
[1] Univ Fed Parana, Dept Matemat, BR-81531980 Curitiba, Parana, Brazil
[2] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil
[3] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP, Brazil
[4] Univ Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, Brazil
基金
巴西圣保罗研究基金会;
关键词
partial group action; partial Hopf action; crossed product; twisted partial action; PARTIAL CROSSED-PRODUCTS; ENVELOPING ACTIONS; ALGEBRAS; (CO)ACTIONS;
D O I
10.1017/S1446788715000774
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this work, we review some properties of twisted partial actions of Hopf algebras on unital algebras and give necessary and sufficient conditions for a twisted partial action to have a globalization. We also elaborate a series of examples.
引用
收藏
页码:1 / 28
页数:28
相关论文
共 39 条
[1]   Enveloping actions and Takai duality for partial actions [J].
Abadie, F .
JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 197 (01) :14-67
[2]  
Abadie F., 1999, THESIS
[3]  
Akemann C. A., 1973, Journal of Functional Analysis, V13, P277, DOI 10.1016/0022-1236(73)90036-0
[4]   Partial Hopf module categories [J].
Alvares, Edson R. ;
Alves, Marcelo M. S. ;
Batista, Eliezer .
JOURNAL OF PURE AND APPLIED ALGEBRA, 2013, 217 (08) :1517-1534
[5]  
Alves MMS, 2009, ALGEBRA DISCRET MATH, P1
[6]   Partial representations of Hopf algebras [J].
Alves, Marcelo Muniz S. ;
Batista, Eliezer ;
Vercruysse, Joost .
JOURNAL OF ALGEBRA, 2015, 426 :137-187
[7]   TWISTED PARTIAL ACTIONS OF HOPF ALGEBRAS [J].
Alves, Marcelo Muniz S. ;
Batista, Eliezer ;
Dokuchaev, Michael ;
Paques, Antonio .
ISRAEL JOURNAL OF MATHEMATICS, 2013, 197 (01) :263-308
[8]  
Alves MMS, 2011, CONTEMP MATH, V537, P13
[9]   ENVELOPING ACTIONS FOR PARTIAL HOPF ACTIONS [J].
Alves, Marcelo Muniz S. ;
Batista, Eliezer .
COMMUNICATIONS IN ALGEBRA, 2010, 38 (08) :2872-2902
[10]   Actions of inverse semigroups on algebras [J].
Bagio, Dirceu ;
Cortes, Wagner ;
Ferrero, Miguel ;
Paques, Antonio .
COMMUNICATIONS IN ALGEBRA, 2007, 35 (12) :3865-3874