Hom-algebras and homology Classes of $G$-Hom-associative algebras are constructed as deformations of\n$G$-associative algebras along algebra endomorphisms. As special cases, we\nobt... D Yau 被引量: 0发表: 2007年 Hom-quantum groups I: quasi-triangular Hom-bialgebras DEFORMATIONSCOHOMOLOGYHOMO...
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....
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 ...
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...
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 ...
We discuss about relationship between these classes of hom-Gerstenhaber algebras and geometric structures on a vector bundle. As an application, we associate a homology to a regular hom-Lie algebroid and then define a hom-Poisson homology associated to a hom-Poisson manifold....
Y. S. Chen and Y. C. Su, (Co)homology and universal central extensions of Hom-Leibniz algebras, Acta Math. Sin. (Engl. Ser.) 27 (5) (2011), 813-830.Homology and universal central extension of Hom-Leibniz algebras. Yong Sheng Cheng,Yu Cai Su. ACTA MATHEMATICA SINICA-ENGLISH SERIES ...
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...
homology and universal central extension of Hom-Leibniz algebras. Yongsheng Cheng,Yucai Su. Acta Math. Sin., Engl. Ser . 2011Cheng, Y.S., Su, Y.C.: (Co)homology and universal central extensions of Hom-Leibniz algebras. Acta Math. Sin. 27 (5), 813–830 (2011) MATH MathSciNet...
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 ...