8 papers
Geometry and classifications of some -Lie algebras
Yin Chen, Shan Ren, Runxuan Zhang
Using group actions and orbit-stabilizer methods, we study the geometry of isomorphism classes of finite-dimensional -Lie algebras over a field of characteristic $…
Deformations of left-symmetric color algebras
Yin Chen, Runxuan Zhang
We develop a deformation theory for finite-dimensional left-symmetric color algebras, which can be used to construct new algebraic structures and interpret left-symmetric color coh…
Kupershmidt-Nijenhuis structures on pre-Malcev algebras
Yin Chen, Liman Qin, Shan Ren +1
We study Kupershmidt operators, Nijenhuis operators, and Kupershmidt-Nijenhuis structures on finite-dimensional pre-Malcev algebras over a field of characteristic zero. We construc…
Invariant theory and coefficient algebras of Lie algebras
Yin Chen, Runxuan Zhang
The coefficient algebra of a finite-dimensional Lie algebra on a finite-dimensional representation is defined as the subalgebra generated by all coefficients of the corresponding c…
Cohomology of left-symmetric color algebras
Yin Chen, Runxuan Zhang
We develop a new cohomology theory for finite-dimensional left-symmetric color algebras and their finite-dimensional bimodules, establishing a connection between Lie color cohomolo…
Generalized derivations of -Lie algebras
Yin Chen, Shan Ren, Jiawen Shan +1
This article explores the structure theory of compatible generalized derivations of finite-dimensional -Lie algebras over a field . We prove that any compatible qua…