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Cartan subgroup

Cartan 子群

本站译名 表示论与李理论 义项编号TS-1151

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Naive Lie Theory 封面

《Naive Lie Theory》 · 印刷第 21 页 Chapter 2 章首域的约定、第 108 页 Section 6.4「Maximal tori, further properties of Borel groups」节首对象约定及 Cartan 子群定义(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 $G$ is a connected linear algebraic group. […] A Cartan subgroup of $G$ is the identity component of the centralizer of a maximal torus. (In fact, such a centralizer is connected, as we shall see in 6.4.7).

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