Classification of Pointed Hopf Algebras of Dimension p2 over any Algebraically Closed Field

被引：0
作者：
Linhong Wang
Xingting Wang
机构：
[1] Southeastern Louisiana University,Department of Mathematics
[2] University of Washington,Department of Mathematics
来源：
Algebras and Representation Theory | 2014年 / 17卷
关键词：
Hopf algebras; 16T05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let p be a prime. We complete the classification of pointed Hopf algebras of dimension p2 over an algebraically closed field k. When char k ≠ p, our result is the same as the well-known result for char k = 0. When char k = p, we obtain 14 types of pointed Hopf algebras of dimension p2, including a unique noncommutative and noncocommutative type.
引用
收藏
页码：1267 / 1276
页数：9
相关论文
共 20 条
[1]  
Andruskiewitsch N(2002)About finite dimensional Hopf algebras Contemp. Math. 294 1-57
[2]  
Andruskiewitsch N(1998)Hopf algebras of order J. Algebra 199 430-454
[3]  
Schneider H-J(2009) and braided Hopf algebras of order Acta Appl. Math. 108 19-31
[4]  
Beattie M(2011)A survey of Hopf algebras of low dimension J. Algebra 328 399-419
[5]  
Cheng Y-L(2006)On Hopf algebras of dimension 4 J. Algebra 302 214-230
[6]  
Ng S-H(1995)Finite-dimensional Hopf algebras of rank one in characteristic zero Israel J. Math. 92 361-373
[7]  
Krop L(1996)Semisimple Hopf algebras of dimension 6, 8 Proc. Am. Math. Soc. 124 735-738
[8]  
Radford D(2002)The J. Algebra 255 182-197
[9]  
Masuoka A(2008) theorem for semisimple Hopf algebras J. Algebra 319 2772-2788
[10]  
Masuoka A(1989)Non-semisimple Hopf algebras of dimension Am. J. Math. 111 381-385
12