| Toroidal李代数上的Poisson代数结构 |
| |
| 引用本文： | 靳全勤,佟洁.Toroidal李代数上的Poisson代数结构[J].数学年刊A辑(中文版),2007(1). |
| |
| 作者姓名： | 靳全勤 佟洁 |
| |
| 作者单位： | 同济大学应用数学系，同济大学应用数学系 |
| |
| 基金项目： | 国家自然科学基金(No.10671142)，教育部博士点专项基金(No.20040247024)资助的项目． |
| |
| 摘 要： | 非交换的Poisson代数同时具有结合代数和李代数两种代数结构,而结合代数和李代数之间满足所谓的Leibniz法则．文中确定了Toroidal李代数上所有的Poisson代数结构,推广了仿射Kac-Moody代数上相应的结论．
|
| 关 键 词： | Toroidal李代数 Poisson代数 Leibniz法则 |
Poisson Algebra Structures on Toroidal Lie Algebras |
| |
| JIN Quanqin TONG Jie.Poisson Algebra Structures on Toroidal Lie Algebras[J].Chinese Annals of Mathematics,2007(1). |
| |
| Authors: | JIN Quanqin TONG Jie |
| |
| Institution: | JIN Quanqin TONG Jie Department of Applied Mathematics,Tongji University,Shanghai 200092,China. |
| |
| Abstract: | Non-commutative Poisson algebras are the algebras having both an associative algebra structure and a Lie algebra structure together with the Leibniz law.The non- commutative Poisson algebra structures on toroidal Lie algebras are determined,which is a generalization of the affine Kac-Moody algebra case. |
| |
| Keywords: | Toroidal Lie algebra Poisson algebra Leibniz rule |
| 本文献已被 CNKI 等数据库收录！ |
