Some results on Novikov-Poisson algebras | |
Zhao, YF; Bai, CM; Meng, DJ | |
刊名 | INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
![]() |
2004-02-01 | |
卷号 | 43期号:2页码:519-528 |
关键词 | Novikov algebra Novikov-Poisson algebra deformation |
ISSN号 | 0020-7748 |
英文摘要 | Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic type and Hamiltonian operators in the formal variational calculus. A Novikov-Poisson algebra is a Novikov algebra with a compatible commutative associative algebraic structure, which was introduced to construct the tensor product of two Novikov algebras. In this paper, we commence a study of finite-dimensional Novikov-Poisson algebras. We show the commutative associative operation in a Novikov-Poisson algebra is a compatible global deformation of the associated Novikov algebra. We also discuss how to classify Novikov-Poisson algebras. And as an example, we give the classification of 2-dimensional Novikov-Poisson algebras. |
WOS研究方向 | Physics |
语种 | 英语 |
出版者 | KLUWER ACADEMIC/PLENUM PUBL |
WOS记录号 | WOS:000221639200020 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/503] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Zhao, YF |
作者单位 | 1.Acad Math & Syst Sci, Inst Math, Beijing 100081, Peoples R China 2.Nankai Inst Math, Div Theoret Phys, Tianjin 300071, Peoples R China 3.Liu Hui Ctr Appl Math, Tianjin, Peoples R China 4.Nankai Univ, Dept Math, Tianjin 300071, Peoples R China |
推荐引用方式 GB/T 7714 | Zhao, YF,Bai, CM,Meng, DJ. Some results on Novikov-Poisson algebras[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,2004,43(2):519-528. |
APA | Zhao, YF,Bai, CM,&Meng, DJ.(2004).Some results on Novikov-Poisson algebras.INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,43(2),519-528. |
MLA | Zhao, YF,et al."Some results on Novikov-Poisson algebras".INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 43.2(2004):519-528. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论