A class of non‐graded left‐symmetric algebraic structures on the Witt algebra
Xiaomin TangChengming Bai, Phone: +86 22 2350 9295,Chengming BaiChengming Bai, Phone: +86 22 2350 9295,
2012en
ABI
Abstract
Abstract 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.
Identifiers
Citations and references
Cited by 20 references