Transitive Novikov algebras on four-dimensional nilpotent Lie algebras

被引：23
作者：
Bai, CM [1 ]
Meng, DJ
机构：
[1] Nankai Inst Math, Div Theoret Phys, Tianjin 300071, Peoples R China
[2] Nankai Univ, Dept Math, Tianjin 300071, Peoples R China
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2001年 / 40卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Field Theory; Elementary Particle; Quantum Field Theory; Poisson Bracket; Hamiltonian Operator;
D O I：
10.1023/A:1011968631980
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Novikov algebras were introduced in connection with the Poisson brackets (of hydrodynamic type) and Hamiltonian operators in the formal variational calculus. The commutator of a Novikov algebra is a Lie algebra, and the radical of a finite-dimensional Novikov algebra is transitive. In this paper, we give a classification of transitive Novikov algebras on four-dimensional nilpotent Lie algebras based on Kim (1986, Journal of Differential Geometry 24, 373-394).
引用
收藏
页码：1761 / 1768
页数：8
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