connected Lie subgroup

例句：

1. 1.In the context of network theory, a connected Lie subgroup is a subgroup that is connected to all other subgroups in the same Lie algebra.
   在网络理论中，一个连接的李子群是与同一李代数中所有其他子群连接的子群。
2. 2. The study of connected Lie subgroups has applications in areas such as topology and geometry.
   研究连接的李子群在拓扑学和几何学等领域有应用。
3. 3. In this example, we will demonstrate how to find the connected Lie subgroups of a given Lie algebra using the software packageMathematica.
   在这个例子中，我们将使用Mathematica软件包演示如何找到给定李代数的连接李子群。