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| 摘要: |
| 设L是一个广义Hom-李代数, V 是[L,L]的一个H-Hom-李理想. 本文主要研究了L的中心不变量问题. 利用Hopf代数中的方法, 得到了V 的H-不变量包含在L的中心H-不变量中, 这推广了1994年Cohen和Westreich的主要结论. |
| 关键词: 张量Hom-代数 广义Hom-李代数 Yetter-Drinfeld范畴 |
| DOI： |
| 分类号:O153.3 |
| 基金项目:Supported by the NNSF of China (11426095); the Foundation of Henan Ed-ucational Committee (14B110003); the NSF of Henan Province (152300410086); the Research Fund of PhD (qd14151); the Chuzhou University Excellent Young Talents Fund Project (2013RC001); the NSF of Chuzhou University (2014PY08). |
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| CENTRAL INVARIANTS OF GENERALZED HOM-LIE ALGEBRAS |
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DONG Li-hong,WANG Yong-zhong,WANG Sheng-xiang
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| Abstract: |
| Let L be a generalized Hom-Lie algebra, V a H-Hom-Lie ideal of [L,L]. In this paper, we mainly discuss the central invariant of L. Using the method of Hopf algebras, we obtain that H-invariant of V is contained in H-invariant of the center of L. It generalizes the main results by Cohen and Westreich (1994). |
| Key words: monoidal Hom-algebra generalized Hom-Lie algebra Yetter-Drinfeld category |
