Hom-Leibniz algebra is a natural generalization of Leibniz algebras and Hom-Lie algebras. In this paper, we develop some structure theory (such as (co)homo... Yong,Sheng,ChengYu,... - 《Acta Mathematica Sinica》 被引量: 69发表: 2011年 (Co)Homology and universal central extension of Hom-...
By using these spectral sequences, we describe homology groups of finite dimensional multiplicative Hom-Lie algebras in terms of homology groups of Lie algebras and abelian Hom-Lie algebras.MAOSEN XUZHIXIANG WUMathematical Reports
Hom-Yang–Baxter equation, Hom-Lie algebras, and quasi-triangular bialgebras J. Phys. A: Math. Theor., 42 (2009), p. 165202 CrossrefView in ScopusGoogle Scholar [15] D. Yau Hom-algebras and homology J. Lie Theory, 19 (2009), pp. 409-421 View in ScopusGoogle Scholar [16] D. Ya...
Loday J.-L., Pirashvili T., Universal enveloping algebra of Leibniz algebras and (co)homology. Math. Ann., 1993, 296(1): 139–158 Article MathSciNet Google Scholar Mackenzie K., Lie Groupoids and Lie Algebroids in Differential Geometry. London Mathematical Society Lecture Note Series, Cam...
We introduce and characterize universal ($\\alpha$)-central extensions of Hom-Leibniz $n$-algebras. In particular, we show their interplay with the zeroth and first homology with trivial coefficients. When $n=2$ we recover the corresponding results on universal central extensions of Hom-Leibniz ...
HOMOLOGYThe purpose of this paper is to give a general survey of Hom-bialgebras, which are bialgebra-type structures where the identities are twisted by a morphism, and to extend the concept of quasi-bialgebra to Hom-setting. We provide some key constructions and generalize the concept of ...
D. Yau, Hom-algebras as deformations and homology, arXiv 0712.3515v1, 2007.D.Yau.Hom-algebras as deformations and homology. . 2007D.Yau.Hom-algebras as deformations and homology.. 2007D. Yau, Hom-algebras as deformations and homology, preprint, 2007. http://arxiv.org/abs/0712.3515....
Bihom-Lie algebrasBihom-bimodulesChain complexHomologyThe purpose of this paper is to define Hochschild type homology of Bihomassociative algebras and Chevalley-Eilenberg type homology of Bihom-Lie algebras with non-trivial coefficients in their bimodules respectively.In particular,we give their low or...
Y. S. Cheng and Y. C. Su, (Co)homology and universal central extensions of Hom-Leibniz algebras, Acta Math. Sin. (Engl. Ser.) 27 (2011), no. 5, 813-830.CHENG Yong-sheng, SU Yu-cai. (Co)Homology and universal central extension of Hom-Leibniz algebras[J]. Acta Math Sin(Engl ...
C. Su, (Co)homology and universal central extensions of Hom-Leibniz algebras, Acta Math. Sin. (Engl. Ser.) 27 (2011), no. 5, 813-830.Y. S. Chen and Y. C. Su, (Co)homology and universal central extensions of Hom-Leibniz algebras, Acta Math. Sin. (Engl. Ser.) 27 (5) (...