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vector group

向量群

本站译名 表示论与李理论 义项编号TS-1370

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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 22 页 2.1.4(1) 加法群记号、第 51 页 Section 3.4「Elementary unipotent groups」,3.4.1 的向量群定义句(省略中间内容)

$k$ is an algebraically closed field and $F$ a subfield. All algebraic varieties are over $k$. […] (1) $G=\mathbf A^1=k$ with addition as group operation. This defines a linear algebraic group, with $A=k[T]$. […] We denote this algebraic group by $\mathbf G_a$; it is the additive group. […] $G$ is a vector group if it is isomorphic to some $\mathbf G_a^n$.

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