Graded elementary quasi-Hopf algebras of tame representation type

被引：0
作者：
Hua-Lin Huang
Gongxiang Liu
Yu Ye
机构：
[1] Shandong University,School of Mathematics
[2] Nanjing University,Department of Mathematics
[3] University of Science and Technology of China,School of Mathematics
来源：
Israel Journal of Mathematics | 2015年 / 209卷
关键词：
Abelian Group; Hopf Algebra; Representation Type; Standard Generator; Monoidal Category;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The class of graded elementary quasi-Hopf algebras of tame type is classified. Together with our previous work [19], this completes the trichotomy for such a class of algebras according to their representation types. In addition, new examples of genuine elementary quasi-Hopf algebras, and accordingly finite pointed tensor categories, are provided.
引用
收藏
页码：157 / 186
页数：29
相关论文
共 37 条
[11]  
Nikshych D.(2004)Finite tensor categories Moscow Mathematical Journal 4 627-654
[12]  
Ostrik V.(2005)Basic Hopf algebras and quantum groups Journal of Pure and Applied Algebra 198 165-174
[13]  
Etingof P.(1998)Quiver approaches to quasi-Hopf algebras Mathematische Zeitschrift 229 45-76
[14]  
Gelaki S.(2009)From projective representations to quasi-quantum groups Journal of Mathematical Physics 50 043501-2080
[15]  
Etingof P.(2012)On the structure of tame basic Hopf algebras II Science China Mathematics 55 2067-2669
[16]  
Gelaki S.(2009)Quivers, quasi-quantum groups and finite tensor categories Journal of Algebra 321 2650-612
[17]  
Etingof P.(2011)Classification of finite dimensional basic Hopf algebras according to their representation type Communications in Mathematical Physics 303 595-124
[18]  
Gelaki S.(2009)On the structure of tame graded basic Hopf algebras Contemporary Mathematics 478 103-853
[19]  
Etingof P.(2006)Basic Hopf algebras of tame type Journal of Algebra 299 841-791
[20]  
Gelaki S.(2013)Pointed Hopf algebras of finite corepresentation type and their classifications Algebras and Representation Theory 16 771-657
1234