On semisimple Hopf algebras of dimension pqr

被引：20
|
作者：
Natale, S [1 ]
机构：
[1] Univ Nacl Cordoba, FaMAF, RA-5000 Cordoba, Argentina
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2004年 / 7卷 / 02期
关键词：
semisimple Hopf algebra; biproduct; cocycle twist;
D O I：
10.1023/B:ALGE.0000026827.21137.fa
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let p and q be distinct prime numbers. We prove a result on the existence of nontrivial group-like elements in a certain class of semisimple Hopf algebras of dimension pq(r). We conclude the classification of semisimple Hopf algebras A of dimension pq(2) over an algebraically closed field k of characteristic zero, such that both A and A* are of Frobenius type. We also complete the classification of semisimple Hopf algebras of dimension pq(2) < 100.
引用
收藏
页码：173 / 188
页数：16
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