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

Author:

Bajpai Jitendra,Guan Lifan

Abstract

AbstractIn this article, Eisenstein cohomology of the arithmetic group $$G_2(\mathbb {Z})$$ 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.

Funder

Max Planck Institute for Mathematics

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Mathematics (miscellaneous),Theoretical Computer Science

Reference21 articles.

1. Bajpai, J., Harder, G., Horozov, I., Moya Giusti, M.V.: Boundary and Eisenstein cohomology of $${\rm SL}_3({\mathbb{Z}})$$. Math. Ann. 377(1–2), 199–247 (2020)

2. Borel, A., Serre, J.-P.: Corners and arithmetic groups. Comment. Math. Helv. 48, 436–491 (1973). (Avec un appendice: Arrondissement des variétés à coins, par A. Douady et L, Hérault)

3. Mathematical Surveys and Monographs;A Borel,2000

4. Cogdell, J.W., Kim, H.H., Murty, M.R.: Lectures on Automorphic $$L$$-Functions. Fields Institute Monographs, vol. 20. American Mathematical Society, Providence (2004)

5. Harder, G.: On the cohomology of discrete arithmetically defined groups. In: Discrete Subgroups of Lie Groups and Applications to Moduli (International Colloquium, Bombay, 1973), pp. 129–160. Oxford University Press, Bombay (1975)

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