论文标题
$ g_2(\ mathbb {z})$的边界和Eisenstein的共同体学
Boundary and Eisenstein Cohomology of $G_2(\mathbb{Z})$
论文作者
论文摘要
在本文中,已经确定了算术组的Eisenstein $ g_2(\ mathbb {z})$的EISENSTEIN共同体,其系数在任何有限的尺寸最高重量不可减得的表示中都得到了确定。我们通过研究Borel-Serre紧凑型边界的共同体来实现这一目标。
In this article, Eisenstein cohomology of the arithmetic group $G_2(\mathbb{Z})$ with coefficients in any finite dimensional highest weight irreducible representation has been determined. We accomplish this by studying the cohomology of the boundary of the Borel-Serre compactification.