| A-扩张Lie Rinehart代数 |
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| 引用本文： | 陈酌,祁玉海.A-扩张Lie Rinehart代数[J].数学季刊,2007,22(3):317-327. |
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| 作者姓名： | 陈酌 祁玉海 |
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| 作者单位： | School of Mathematical Sciences and LMAM Peking University，Department of Mathematics Qinghai Normal University Beijing 100871，China，Xining 810008，China |
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| 摘 要： | The purpose of this paper is to give a brief introduction to the category of Lie Rinehart algebras and introduces the concept of smooth manifolds associated with a unitary, commutative,associative algebra A.It especially shows that the A-extended algebra as well as the action algebra can be realized as the space of A-left invariant vector fields on a Lie group,analogous to the well known relationship of Lie algebras and Lie groups.
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| 关 键 词： | 李代数 A-扩张 Lie Rinehart代数 李群 |
| 文章编号： | 1002-0462（2007）03-0317-11 |
| 收稿时间： | 2005-06-20 |
| 修稿时间： | 2005年6月20日 |
On the A-extended Lie Rinehart Algebras |
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| CHEN Zhuo,QI Yu-hai.On the A-extended Lie Rinehart Algebras[J].Chinese Quarterly Journal of Mathematics,2007,22(3):317-327. |
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| Authors: | CHEN Zhuo QI Yu-hai |
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| Abstract: | The purpose of this paper is to give a brief introduction to the category of Lie Rinehart algebras and introduces the concept of smooth manifolds associated with a unitary, commutative,associative algebra A.It especially shows that the A-extended algebra as well as the action algebra can be realized as the space of A-left invariant vector fields on a Lie group,analogous to the well known relationship of Lie algebras and Lie groups. |
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| Keywords: | Lie Rinehart algebra A-extended algebra action algebra Lie group Lie algebra |
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