论文标题
不变的戒指的自动形态和扭曲的形式
Automorphisms and twisted forms of rings of invariants
论文作者
论文摘要
令$ g \ subset gl_n(k)$为有限的子组,$ k [x_1,\ dots,x_n]^g \ subset k [x_1,\ dots,x_n] $它的不变性戒指。我们表明,在许多情况下,$ k [x_1,\ dots,x_n]^g $ as $ k^\ times $的汽车组组。版本2:合并Arxiv的部分:2210.16265。
Let $G\subset GL_n(k)$ be a finite subgroup and $k[x_1,\dots, x_n]^G\subset k[x_1,\dots, x_n]$ its ring of invariants. We show that, in many cases, the automorphism group of $k[x_1,\dots, x_n]^G$ is $k^\times$. Version 2: Incorporates parts of arXiv:2210.16265.