| 摘要: |
| 本文研究了无限维李代数so2e((C)Q).利用其明确的生成元,确定了所有的非交换Poisson代数结构,推广了有限维的情形. |
| 关键词: 广义仿射李代数 Poisson代数 Leibniz法则 |
| DOI： |
| 分类号:O153.5 |
| 基金项目: |
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| POISSON ALGEBRA STRUCTURES ON LIE ALGEBRAS so2e((C)Q) |
|
TONG Jie,JIN Quan-qin
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| Abstract: |
| The purpose of this article is to discuss the infinite-dimensional Lie algebras so2e((C)Q). By using the explicit generators, we obtain the non-commutative Poisson algebra structures on so2e((C)Q), which generalize those in the finite-dimensional case. |
| Key words: extended afiine Lie algebra Poisson algebra Leibniz law |
