Quasitriangular structures for a class of Hopf algebras of dimension p6

被引：16

作者：

Wang, SH ^{[1
]}

Kim, YG

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

[2] Henan Normal Univ, Dept Math, Xinxiang, Henan, Peoples R China

[3] Chonbuk Natl Univ, Dept Math, Chonju, Chonbuk, South Korea

来源：

COMMUNICATIONS IN ALGEBRA | 2004年 / 32卷 / 04期

关键词：

twisted smash product; Hopf algebra; Mashke-type theorem; Morita context;

D O I：

10.1081/agb-120028788

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study quasitriangular structur s in the A star H which is the twisted smash product Hopf algebra. As an application, we consider a class of non-commutative and non-cocommutative Hopf algebras H-p(alpha, beta, q, m) which are pointed non semisimple, and establish quasitriangular structures on H-p(alpha, beta, q, m). Another objective of this paper is to study the ling extensions A(1)(biH) subset of A subset of A star H. W prove a Maschke-type theorem for an A star H-modules. We form a associated Morita context [A(biH), A, A, A star H] and use these to investigate s o*me of properties of the Doi-Takeuchi double and the Drinfeld's double.

引用

页码：1401 / 1423

页数：23