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math.RA2023
The -Lie algebra defined by the commutator of an -left-symmetric algebra is not perfect
Zhiqi Chen, Junna Ni, Jianhua Yu
In this paper, we study admissible -left-symmetric algebraic structures on -Lie algebras over the complex numbers field . Based on the classification of -Lie al…
math.RA2022
The classification of -Lie algebras
Zhiqi Chen, Junna Ni, Jianhua Yu
Zusmanovich gave a fundamental result on the structure of -Lie algebras. But up to now, the classification of -Lie algebras is still open. In this paper, we give a complete c…