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SOME RESULTS ON INFINITE DIMENSIONAL NOVIKOV ALGEBRAS
Authors:ZHAO Yufeng and MENG Daoji
Affiliation:Department of Mathematics, Nankai University, Tianjin 300071, China
Abstract:This paper gives some sufficient conditions for determining the simplicity of infinite dimensional Novikov algebras of characteristic 0, and also constructs a class of simple Novikov algebras by extending the base field. At last, the deformation theory of Novikov algebras is introduced.
Keywords:Novikov algebra   Novikov-Poisson Algebra   Algebraic deformation
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