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SOME RESULTS ON INFINITE DIMENSIONAL NOVIKOV ALGEBRAS
引用本文:ZHAO Yufeng,MENG Daoji. SOME RESULTS ON INFINITE DIMENSIONAL NOVIKOV ALGEBRAS[J]. 数学年刊B辑(英文版), 2003, 24(3): 309-314
作者姓名:ZHAO Yufeng  MENG Daoji
作者单位:ZHAO YUFENG MENG DAOJI Department of Mathematics,Nankai University,Tianjin 300071,China. Department of Mathematics,Nankai University,Tianjin 300071,China.
摘    要: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.

关 键 词:Novikov代数  简单性  分解理论  Novikov-Poisson代数  简单代数
收稿时间:2005-04-02

Some Results on Infinite Dimensional Novikov Algebras
ZHAO Yufeng and MENG Daoji. Some Results on Infinite Dimensional Novikov Algebras[J]. Chinese Annals of Mathematics,Series B, 2003, 24(3): 309-314
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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