| 赵利辉,王彩虹.乘子Hopf代数的 L-R Smash余积[J].数学年刊A辑,2013,34(6):737~746 |
| 乘子Hopf代数的 L-R Smash余积 |
| L-R Smash Coproducts for Multiplier Hopf Algebras |
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| DOI： |
| 中文关键词: 乘子Hopf代数, 余作用, 双余模双代数, L-R Smash余积 |
| 英文关键词:Multiplier Hopf algebra, Coaction, Bicomodule bialgebra, L-R
smash coproduct |
| 基金项目:国家自然科学基金 (No.11101128)和河南科技大学博士科研启动基金(No.09001303) |
| Author Name | Affiliation | E-mail | | ZHAO Lihui | School of Mathematics and Statistics, Henan University of Science and Technology,
Luoyang 471023, Henan, China
Department of Mathematics, Zhejiang University, Hangzhou 310027, China. | lihuizhaos@126.com | | WANG Caihong | College of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, Henan, China. | wwcaihong@yahoo.com.cn |
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| 中文摘要: |
| 设 $A$ 是正则乘子Hopf代数, $R$ 是 $A$-\!\!双余模代数,
首先定义了 $A$-\!\!双余模双代数, 并利用它构造了 L-R Smash 积的对偶形式,
即 $R\otimes A$ 上一种非平凡的乘子Hopf代数结构,
称之为 L-R Smash余积.
然后给出了 L-R Smash余积上的积分和$*$-\!\!结构. |
| 英文摘要: |
| Let A be a regular multiplier Hopf algebra and R be an A-bicomodule algebra.
The authors define an A-bicomodule bialgebra and construct a non-trivial multiplier Hopf
algebra on R?A, called an L-R smash coproduct which is the dual of the L-R smash product.
The integrals and ?-operators on the L-R smash coproduct are also obtained. |
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