| 关于李群胚的几点讨论 |
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| 引用本文： | 王宝勤,袁丽霞,侯传燕. 关于李群胚的几点讨论[J]. 应用数学, 2006, 19(4): 731-736 |
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| 作者姓名： | 王宝勤 袁丽霞 侯传燕 |
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| 作者单位： | 新疆师范大学数理信息学院,乌鲁木齐,830054 |
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| 摘 要： | 文章讨论了李群胚作为丛的一些性质,得出李群胚的内子群胚是主丛的结论;研究了李群胚在其内子群胚上的作用,并证明了李群胚上的Maurer-cartan形式在其任意左不变向量场上作用的结果为常数.文末推广了关于李代数胚态射的一个结论.
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| 关 键 词： | 李群胚 李群胚的作用 Maurer-Cantan形式 李代数胚态射 |
| 文章编号： | 1001-9847(2006)04-0731-06 |
| 收稿时间： | 2006-01-11 |
| 修稿时间： | 2006-01-11 |
Several Discussions on Lie groupoids |
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| WANG Bao-qin,YUAN Li-xia,HOU Chuan-yan. Several Discussions on Lie groupoids[J]. Mathematica Applicata, 2006, 19(4): 731-736 |
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| Authors: | WANG Bao-qin YUAN Li-xia HOU Chuan-yan |
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| Affiliation: | School of Math-physics and Information Science, Xinjiang Normal University, Urumq 830054, China |
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| Abstract: | In this paper,we discussed some properties of Lie groupoids as a bundle,and obtained the conclusion that its Inner subgroupoids is a principal bundle.Studied the actions of Lie groupoids on its Inner subgroupoids,proved the result that its Maurer-Cartan forms acting on left invariant vector field is a constant.A proposition about the morphisms of Lie algebroids is generalized. |
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| Keywords: | Lie groupoids Action on Lie groupoids Maurer-Cartan forms Morphisms of Lie algebroids |
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