On parakähler Hom-Lie algebras and Hom-left-symmetric bialgebras
On parakähler Hom-Lie algebras and Hom-left-symmetric bialgebras
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DOI：
10.1080/00927872.2016.1175453
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发表时间：
2017-01
影响因子：
0.7
通讯作者：
Qinxiu Sun;Hongliang Li
中科院分区：
文献类型：
--
作者：
Qinxiu Sun;Hongliang Li
本文利用Hom-左对称代数研究了仿Hom-李代数或Hom-李代数的相空间。利用Hom-李代数的匹配对给出了仿Kahler Hom-李代数的结构理论。此外，还研究了Hom-左对称代数的双模。进一步引入了与仿Kahler Hom-李代数精确等价的Hom-左对称双代数。特别地，考虑了余边界Hom-左对称双代数。
ABSTRACT In this paper, the parakähler Hom-Lie algebras or phase space of Hom-Lie algebras in terms of Hom-left-symmetric algebras are studied. A structure theory of parakähler Hom-Lie algebras in terms of matched pairs of Hom-Lie algebras is also presented. Besides, the bimodules of Hom-left-symmetric algebras are investigated. Furthermore, Hom-left-symmetric bialgebra which is precisely equivalent to parakähler Hom-Lie algebra is introduced. Especially, the coboundary Hom-left-symmetric bialgebra is considered.