Millson, John J.; Raghunathan, M. S. Geometric construction of cohomology for arithmetic groups. I. (English) Zbl 0524.22012 Proc. Indian Acad. Sci., Math. Sci. 90, 103-123 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 17 Documents MSC: 22E40 Discrete subgroups of Lie groups 55M20 Fixed points and coincidences in algebraic topology Keywords:geometric construction of cohomology classes for uniform arithmetic subgroups of Lie groups; restrictions of continuous classes from the Lie group; unitary representation with non-zero cohomology; uniform arithmetic group; manifolds of constant negative curvature; Betti numbers Citations:Zbl 0514.22007; Zbl 0472.00012 PDFBibTeX XMLCite \textit{J. J. Millson} and \textit{M. S. Raghunathan}, Proc. Indian Acad. Sci., Math. Sci. 90, 103--123 (1981; Zbl 0524.22012) Full Text: DOI 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 [9] O’Meara O T 1971Introduction to quadratic forms (New York: Springer Verlag) · Zbl 0207.05304 [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.