| A-扩张Lie Rinehart代数的证明及其应用 |
| |
| 引用本文： | 张黎明.A-扩张Lie Rinehart代数的证明及其应用[J].青海师范大学学报(自然科学版),2009(3):1-6. |
| |
| 作者姓名： | 张黎明 |
| |
| 作者单位： | 青海师范大学民族师范学院,数学系,青海,西宁,810007 |
| |
| 摘 要： | 本文简单介绍Lie Rinehart代数的范畴和关于一个有幺,交换,结合代数A的光滑流形的概念.我们特别指出一种叫做A-扩张代数的代数,以及作用代数都可以实现为李群上的A-左不变向量场所构成的空间.这是通常的李代数与李群关系的推广.
|
| 关 键 词： | LieRinehart代数 A-扩张代数 作用代数 李群 李代数 |
The Proof and Application of A-Expanding Lie Rinehart Algebra |
| |
| ZHANG Li-ming.The Proof and Application of A-Expanding Lie Rinehart Algebra[J].Journal of Qinghai Normal University(Natural Science Edition),2009(3):1-6. |
| |
| Authors: | ZHANG Li-ming |
| |
| Institution: | ZHANG Li-ming (Department of Mathematics,Teachers School for Nationalities,Qinghai Normal University,Xining 813000,China) |
| |
| Abstract: | In this thesis,we introduce the contents of Lie Rinehart algebra and such manifolds that connect to combinatory and abelian A algebra which has and unit.Especially we point out another algebra-A expanding algebra as well as the vector space which are constitutes of A left invariant vector field.This left invariant vector field can be achieved on Lie group by algebra.This is the spread of the relationship between Lie algebra and Lie group. |
| |
| Keywords: | lie rinehart algebra A-expanding algebra action algebra lie group lie algebra |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
