科研之友
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摘要
We classify the compatible left-symmetric algebraic structures on the Witt algebra satisfying certain non-graded conditions. It is unexpected that they are Novikov algebras. Furthermore, as applications, we study the induced non-graded modules of the Witt algebra and the induced Lie algebras by Novikov-Poisson algebras approach and Balinskii-Novikov's construction.
