论文标题
SL 2中的字符方案
The scheme of characters in SL 2
论文作者
论文摘要
本文的目的是研究有限生成的组的SL（2，c） - 字符方案。考虑到有限生成的组$γ$的介绍，我们给出了定义$γ$的SL（2，c）的坐标环的方程式（当$γ$有限地呈现时，有限的等式有限多个方程）。我们还研究了阿贝利安和非插曲表示和特征的方案。最后，我们将结果应用于研究Borromean环的SL（2，C） - 字符方案。
The aim of this article is to study the SL(2,C)-character scheme of a finitely generated group. Given a presentation of a finitely generated group $Γ$, we give equations defining the coordinate ring of the scheme of SL(2,C)-characters of $Γ$ (finitely many equations when $Γ$ is finitely presented). We also study the scheme of abelian and nonsimple representations and characters. Finally we apply our results to study the SL(2,C)-character scheme of the Borromean rings.
