| 准三角Hopf代数与双积 |
| |
| 引用本文： | 刘贵龙. 准三角Hopf代数与双积[J]. 数学学报, 1996, 39(6): 751-755. DOI: cnki:ISSN:05831431.0.1996-06-004 |
| |
| 作者姓名： | 刘贵龙 |
| |
| 作者单位： | 中国地质大学数学室 |
| |
| 摘 要： | 本文首先给出准三角Ｈｏｐｆ代数与Ｙｅｔｔｅｒ－Ｄｒｉｎｆｅｌｄ模的关系，推广了Ｒａｄｆｏｒｄ关于双积的构造，讨论二重Ｓｍａｓｈ积与双积的关系．
|
| 关 键 词： | 准三角Hopf代数，双积，Yetter－Drubfeld模，二重Smash积 |
| 收稿时间： | 1995-06-29 |
Quasitriangular Hopf Algebras and Biproducts |
| |
| Liu Guilong. Quasitriangular Hopf Algebras and Biproducts[J]. Acta Mathematica Sinica, 1996, 39(6): 751-755. DOI: cnki:ISSN:05831431.0.1996-06-004 |
| |
| Authors: | Liu Guilong |
| |
| Affiliation: | Liu Guilong(China University of Geosciences, Beijing 100083,China) |
| |
| Abstract: | In this paper we showed first that(H,R)is a quasitriangular Hopf algebra if and only if H is a coalgebra in HM and H is left Yetter-Drinfeld module by considering H as a left H-module via multiplication of H and as a left H-comodule via(TR)(1 h), where is twist map. We generalized then a result of Hopf algebra with a projection. Final,we study the relationship between Double Smash product,quasitriangular Hopf algebra,and biproduct. |
| |
| Keywords: | Quasitriangular Hopf algebra Biproduct Yetter-Drinfeld module Double Smashproduct |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
|
点击此处可从《数学学报》下载全文 |
