On local integration of Lie brackets
On local integration of Lie brackets
复制标题
关于李括号的局部积分
DOI：
--
复制
发表时间：
2017
期刊：
影响因子：
--
通讯作者：
M. A. Salazar
中科院分区：
文献类型：
--
作者：
A. Cabrera;I. Mărcuţ;M. A. Salazar
本文给出了一个直接的、显式的和自包含的局部李群胚的构造，它只依赖于提升底层锚映射的喷雾向量场的选择。这一建设导致一个完整的帐户，当地李理论，特别是有限维证明的事实，即范畴的芽当地李群胚是等同于李代数胚。
Abstract We give a direct, explicit and self-contained construction of a local Lie groupoid integrating a given Lie algebroid which only depends on the choice of a spray vector field lifting the underlying anchor map. This construction leads to a complete account of local Lie theory and, in particular, to a finite-dimensional proof of the fact that the category of germs of local Lie groupoids is equivalent to that of Lie algebroids.