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- Jilin UniversityCN36 papers
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4 papers · 2 filters
Cohomology and 1-parameter formal deformations of Hom-Lie triple systems
Yao Ma, Liangyun Chen, Jie Lin
In this paper, we study the cohomology theory of Hom-Lie triple systems generalizing the Yamaguti cohomology theory of Lie triple systems. We introduce the central extension theory…
Classification of three dimensional complex omega-Lie algebras
Yin Chen, Chang Liu, Run-Xuan Zhang
A complex -Lie algebra is a vector space over the complex field, equipped with a skew symmetric bracket and a bilinear form such that $$[[x,y],z]+[[y,z],x]+ [[z,…
Systems of quotients of Lie triple systems
Yao Ma, Liangyun Chen, Jie Lin
In this paper, we introduce the notion of system of quotients of Lie triple systems and investigate some properties which can be lifted from a Lie triple system to its systems of q…
Representations and module-extensions of hom 3-Lie algebras
Yan Liu, Liangyun Chen, Yao Ma
In this paper, we study the representations and module-extensions of hom 3-Lie algebras. We show that a linear map between hom 3-Lie algebras is a morphism if and only if its graph…