名词
中文翻译：李代数
同义词：
['李群，李代数几何例句：1. In Lie algebra', 'the Lie algebra of a vector space is defined as the set of all linear transformations that can be expressed in terms of the basis elements.（在李代数中，一个向量空间的李代数被定义为所有可以由基元素表示的线性变换的集合。）']
例句：
-
1. In Lie algebra, the Lie algebra of a vector space is defined as the set of all linear transformations that can be expressed in terms of the basis elements.
在李代数中，一个向量空间的李代数被定义为所有可以由基元素表示的线性变换的集合。
-
2. The Lie algebra of a Lie group is the set of all possible linear transformations that can be applied to any element of thegroup.
一个李群的李代数是所有可能的线性变换的集合，这些变换可以应用于群组中的任何元素。
-
3. In Lie algebra theory, we study the properties of these transformations and their relationships with other mathematical concepts.
在李代数理论中，我们研究这些变换的性质以及它们与其他数学概念的关系。