Lie algebra of an algebraic group

例句：

1. 1.In the study of Lie algebras, we need to consider the properties of the Lie algebra itself.
   在研究李代数时，我们需要考虑李代数本身的性质。
2. 2. The Lie algebra of a Lie group plays a crucial role in its representation theory.
   一个李群的李代数在其表示论中起着至关重要的作用。
3. 3. The Lie algebra of a Lie group is closely related to its topological structure.
   李群的李代数与其拓扑结构密切相关。