Boundary and Eisenstein cohomology of $G_2(\mathbb {Z})$

Abstract

Abstract In this article, Eisenstein cohomology of the arithmetic group 1436019G_2(\mathbb {Z})1436019 G 2 ( Z ) with coefficients in any finite dimensional highest weight irreducible representation has been determined. This is accomplished by studying the cohomology of the boundary of the Borel–Serre compactification. Abstract In this article, Eisenstein cohomology of the arithmetic group 1451302G_2(\mathbb {Z})1451302 G 2 ( Z ) with coefficients in any finite dimensional highest weight irreducible representation has been determined. This is accomplished by studying the cohomology of the boundary of the Borel–Serre compactification.