arXiv:2009.13486 Abstract | arXiv Analytics

arXiv:2009.13486 [math.NT]Abstract References Reviews Resources

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

Published 2020-09-28Version 1

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.

Comments: 38 Pages

Categories: math.NT, math.AG

Subjects: 11F75, 11F70, 11F22, 11F06

Keywords: eisenstein cohomology, dimensional highest weight irreducible representation, finite dimensional highest weight irreducible, arithmetic group, borel-serre compactification

Related articles: Most relevant | Search more

arXiv:1905.01547 [math.NT] (Published 2019-05-04)

Euler Characteristic and Cohomology of $\mathrm{Sp}_4(\mathbb{Z})$ with nontrivial coefficients

Jitendra Bajpai, Ivan Horozov, Matias Moya Giusti

arXiv:1812.03734 [math.NT] (Published 2018-12-10)

Boundary and Eisenstein Cohomology of $\mr{SL}_3(\Z)$

Jitendra Bajpai, Günter Harder, Ivan Horozov, Matias Moya Giusti

arXiv:1701.00611 [math.NT] (Published 2017-01-03)