HOMOLOGY theorySPECTRAL sequences (Mathematics)MATHEMATICAL sequencesMULTIPLICATIONIn this article, we establish Serre-Hochschild spectral sequences of Hom-Lie algebras. By using these spectral sequences, we describe homology groups of finite dimensional multiplicative Hom-Lie algebras in ...
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-...
(Co)Homology and Universal Central Extension of Hom-Leibniz Algebras [J]. Acta Math Sin (Engl Ser), 2011, 27(5): 813-830. [8] SHENG Yunhe. Representations of Hom-Lie Algebras [J]. Algebras Representation Theory, 2012, 15(6): 1081-1098. [9] Yau D. Hom-Algebras and Homology [J]...
Deformation theory and lie algebra homology II A description of a ring of functions on the base of a universal formal deformation for several moduli problems is given. The answer is given in terms of a ... V Hinich,V Schechtman - 《Algebra Colloquium》 被引量: 48发表: 1997年 Finite-dim...
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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 ...
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...
Modules of t‐Finite Vectors Over Semi‐Simple Lie Algebras Let g be a complex semisimple Lie algebra. If M and N are modules for g (and hence for the enveloping algebra U(g)), then Hom (M,N) is a g脳g module in an obvious way. Write for the diagonal in g脳g, and L(M...