| 摘要: |
| 本文研究了Radford双积的Hom-型.通过把广义smash积Hom-代数和广义smash余积Hom-余代数相结合，得到了他们成为Hom-双代数的充分必要条件，这一结果推广了著名的Radford双积. |
| 关键词: Radford双积 量子Yang-Baxter方程 Yetter-Drinfeld范畴 |
| DOI： |
| 分类号:O153.3 |
| 基金项目:Supported by China Postdoctoral Science Foundation (2017M611291); Foundation for Young Key Teacher by Henan Province (2015GGJS-088); Natural Science Foundation of Henan Province (17A110007). |
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| GENERALIZED RADFORD BIPRODUCT HOM-HOPF ALGEBRAS AND RELATED BRAIDED TENSOR CATEGORIES |
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MA Tian-shui1,2, WANG Yong-zhong3, LIU Lin-lin1
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1.Department of Mathematics, School of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China;2.Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, School of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China;3.School of Mathematics and Information Science, Xinxiang University, Xinxiang 453003, China
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| Abstract: |
| In this paper, the Hom-type of Radford biproduct is introduced. By combining generalized smash product Hom-algebra and generalized smash coproduct Hom-coalgebra, we derive necessary and suffcient conditions for them to be a Hom-bialgebra, which includes the well-known Radford biproduct. |
| Key words: Radford biproduct quantum Yang-Baxter equation Yetter-Drinfeld category |
