Naive Lie Theory
《Naive Lie Theory》 · 印刷第 21 页 Chapter 2 章首域的约定、第 104 页 Section 6.3「Connected solvable groups」节首对象约定、Theorem 6.3.1 完整陈述及其后首句的矩阵群记号说明(省略中间内容)
$k$ is an algebraically closed field and $F$ a subfield. All algebraic varieties are over $k$. […] In this section we deal with the structure theory of connected solvable linear algebraic groups. $G$ is such a group. [Theorem of Lie-Kolchin] Assume that $G$ is a closed subgroup of $\mathbf{GL}_n$. There is $x\in\mathbf{GL}_n$ such that $xGx^{-1}\subset\mathbf T_n$. As before $\mathbf T_n$ is the group of upper triangular matrices.