义项 · Sense

Lie-Kolchin theorem

Lie-Kolchin 定理

本站译名 表示论与李理论 义项编号TS-1180

英文别名
theorem of Lie-Kolchin

外文出处

登录后提交
Naive Lie Theory 封面

《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.

参考链接

社区核验

登录后纠错

已有 0 人核验