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Geometric construction of cohomology for arithmetic groups. I. (English) Zbl 0524.22012


MSC:

22E40 Discrete subgroups of Lie groups
55M20 Fixed points and coincidences in algebraic topology
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References:

[1] Birkes, D., Orbits of linear algebraic groups, Ann. Math., 93, 459-475 (1971) · Zbl 0212.36402 · doi:10.2307/1970884
[2] Borel, A., Cohomologie de sous-groupes discrets et représentations de groupes semisimples, Bull. Soc. Math. France, 32, 73-112 (1976) · Zbl 0333.57023
[3] Borel A 1969Introduction aux Groupes Arithmetiques (Hermann) · Zbl 0186.33202
[4] Borel, A., Compact Clifford-Klein forms of symmetric spaces, Topology, 2, 111-122 (1963) · Zbl 0116.38603 · doi:10.1016/0040-9383(63)90026-0
[5] Borel A and Wallach N Seminar on the cohomology of discrete subgroups of semi-simple groups.Ann. Math. Studies, Princeton University Press (to appear) · Zbl 0980.22015
[6] Casselman W and Schmid W to appear
[7] Helgason SDifferential geometry and symmetric spaces (New York: Academic Press)
[8] Kneser, M., Strong approximation, Proc. Symp. Pure Math., 9, 187-196 (1966) · Zbl 0201.37904
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[10] Millson, J. J., On the first Betti number of a constant negatively curved manifold, Ann. Math., 104, 235-247 (1976) · Zbl 0364.53020 · doi:10.2307/1971046
[11] Mostow G D 1973 Strong rigidity of locally symmetric spaces.Ann. Math. Studies (Princeton, New Jersey) · Zbl 0265.53039
[12] Serre J P 1973Cohomologie Galoisienne (Springer-Verlag)
[13] Zuckerman G Continuous cohomology and unitary representations of real reductive groups (to appear)
[14] Tits, J., Classification of algebraic semisimple groups, Proc. Symp. Pure Math., 9, 33-62 (1966) · Zbl 0238.20052
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