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
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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.
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页码:157 / 186
页数:29
相关论文
共 37 条
[1]  
Andruskiewitsch N.(2010)On the classification of finite-dimensional pointed Hopf algebras Annals of Mathematics 171 375-417
[2]  
Schneider H.-J.(2010)Basic quasi-Hopf algebras over cyclic groups Advances in Mathematics 225 3545-3575
[3]  
Angiono I. E.(2002)Radford’s biproduct for quasi-Hopf algebras and bosonization Journal of Pure and Applied Algebra 174 1-42
[4]  
Bulacu D.(2002)Hopf quivers Journal of Algebra 254 241-251
[5]  
Nauwelaerts E.(1990)Quasi-Hopf algebras Leningrad Mathematical Journal 1 1419-1457
[6]  
Cibils C.(2010)On braided fusion categories I Selecta Mathematica-New Series 16 1-119
[7]  
Rosso M.(2005)On radically graded finite-dimensional quasi-Hopf algebras Moscow Mathematical Journal 5 371-378
[8]  
Drinfeld V. G.(2009)The small quantum group as a quantum double Journal of Algebra 322 2580-2585
[9]  
Drinfeld V. G.(2004)Finite dimensional quasi-Hopf algebras with radical of codimension 2 Mathematical Research Letters 11 685-696
[10]  
Gelaki S.(2006)Liftings of graded quasi-Hopf algebras with radical of prime codimension Journal of Pure and Applied Algebra 205 310-322