论文标题
在第二等级的谎言群体中通勤元素的空间的共同体学
Cohomology of the spaces of commuting elements in Lie groups of rank two
论文作者
论文摘要
令$ g $为古典群体，然后让hom $（\ mathbb {z}^m，g）$表示$ g $中通勤$ m $ tuples的空间。 Baird证明了HOM $（\ MATHBB {Z}^M，G）$的共同体，并用$ G $的Weyl Gult的某些不变式确定。在本文中，使用Baird的结果，我们给出了HOM $（\ Mathbb {Z}^2，G）$的共同体戒指。
Let $G$ be the classical group, and let Hom$(\mathbb{Z}^m,G)$ denote the space of commuting $m$-tuples in $G$. Baird proved that the cohomology of Hom$(\mathbb{Z}^m,G)$ is identified with a certain ring of invariants of the Weyl group of $G$. In this paper by using the result of Baird we give the cohomology ring of Hom$(\mathbb{Z}^2,G)$ for simple Lie group $G$ of rank 2.
