Some results on Novikov-Poisson algebras
文献类型：期刊论文
| 作者 | Zhao, YF; Bai, CM; Meng, DJ |
| 刊名 | INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000221639200020 |
| 出版者 | KLUWER ACADEMIC/PLENUM PUBL |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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