# Stable real cohomology of arithmetic groups

@article{Borel1974StableRC,
title={Stable real cohomology of arithmetic groups},
author={A. Borel},
journal={Annales Scientifiques De L Ecole Normale Superieure},
year={1974},
volume={7},
pages={235-272}
}
• A. Borel
• Published 1974
• Mathematics
• Annales Scientifiques De L Ecole Normale Superieure
Given a discrete subgroup Γ of a connected real semisimple Lie group G with finite center there is a natural homomorphism $$j_\Gamma ^q:I_G^q \to {H^q}\left( {\Gamma ;c} \right)\quad \left( {q = 0,1, \ldots } \right),$$ (1) where I G q denotes the space of G-invariant harmonic q-forms on the symmetric space quotient X=G/K of G by a maximal compact subgroup K. If Γ is cocompact, this homomorphism is injective in all dimensions and the main objective of Matsushima in [19] is to give a… Expand
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#### References

SHOWING 1-10 OF 28 REFERENCES
A square integrability criterion for the cohomology of arithmetic groups.
• Mathematics, Medicine
• Proceedings of the National Academy of Sciences of the United States of America
• 1968
• 16
• PDF
Groupes reductifs (Publ
• Math. I. H. E. S., vol. 27
• 1965
On Betti numbers of compact
• locally symmetric Riemannian manifolds
• 1962
SERRE, Corners and arithmetic groups (Comm
• Math. Helv.,
• 1974
Cohomohgie reelle stable de groupes S-arithmetiques (C
• R. Acad. Sc Paris t 274 serie A 1972,
• 1972