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

页码：1761 / 1768

页数：8

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