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本文证明了任何半单李代数(或者李群)在连通光滑流形上的非平凡单纯作用一定没有驻点.而且有效作用的那部分必定是同构于sl(2,R)(或者SL(2,R))的理想. 相似文献
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对一个光滑函数F:R2→R2,我们推广其局部度的概念,定义其在一点的环绕积分.我们证明,环绕积分一定取整数值,并且在特定的条件下,该值恰等于F的Jacobian行列式的符号. 相似文献
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A-扩张Lie Rinehart代数 总被引:1,自引:0,他引:1
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. 相似文献
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