| 摘要: |
| 本文研究了Radford双积Hom-Hopf代数上的lazy 2-余循环.利用扭曲方法得到了(B,β)上的左Hom-2-余循环σ和(B×#H,β⊗α)上的左Hom-2-余循环σ之间的关系,推广了通常Hopf代数情形下的相应结论. |
| 关键词: lazy 2-余循环 Radford双积Hom-Hopf代数 Yetter-Drinfeld范畴 |
| DOI: |
| 分类号:O153.3 |
| 基金项目:Supported by China Postdoctoral Science Foundation (2017M611291) and Natural Science Foundation of Henan Province (17A110007). |
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| LAZY 2-COCYCLE ON RADFORD BIPRODUCT HOM-HOPF ALGEBRA |
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MA Tian-shui, ZHENG Hui-hui
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School of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
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| Abstract: |
| In this paper, we study Lazy 2-cocycle on Radford's biproduct Hom-Hopf algebra. By using twisting method, we mainly investigate the relations between the left Hom-2-cocycles σ on (B, β) and σ on (B×#H, β⊗α) which generalise the corresponding results in the case of usual Hopf algebras. |
| Key words: lazy 2-cocycle Radford's biproduct Hom-Hopf algebra Yetter-Drinfeld category |