11 citations · 24 across the 17 of their papers we have counts for
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math.RA2013
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,…
math.RA2013★ 1 cited
Cohomologies and Deformations of Generalized Left-symmetric Algebras
Run-Xuan Zhang
The purpose of this paper is to develop a cohomology and deformation theories for generalized left-symmetric algebras.We introduce the notions of generalized left-symmetric cohomol…
math.RA2013★ 1 cited
Left-symmetric Structures on Complex Simple Lie Superalgebras
Run-Xuan Zhang
A well-known fact is that there does not exist any compatible left-symmetric structures on a finite-dimensional complex semisimple Lie algebra (see \cite{Chu1974}). This result is…