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The spectrum of noncompact ${G \mathord{\left/ {\vphantom {G \Gamma }} \right. \kern-\nulldelimiterspace} \Gamma }$ and the cohomology of arithmetic groups


Author: Howard Garland
Journal: Bull. Amer. Math. Soc. 75 (1969), 807-811
DOI: https://doi.org/10.1090/S0002-9904-1969-12303-7
MathSciNet review: 0247000
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  • 1. H. Garland and W.-C. Hsiang, A square integrability criterion for the cohomology of arithmetic groups, Proc. Nat. Acad. Sci. U.S.A. 59 (1968), 354–360. MR 0228504
  • 2. Harish-Chandra, Automorphic forms on semisimple Lie groups, Notes by J. G. M. Mars. Lecture Notes in Mathematics, No. 62, Springer-Verlag, Berlin-New York, 1968. MR 0232893
  • 3. D. A. Každan, On the connection of the dual space of a group with the structure of its closed subgroups, Funkcional. Anal. i Priložen. 1 (1967), 71–74 (Russian). MR 0209390
  • 4. Yozô Matsushima, On Betti numbers of compact, locally sysmmetric Riemannian manifolds, Osaka Math. J. 14 (1962), 1–20. MR 0141138
  • 5. Raghavan Narasimhan, Lectures on topics in analysis, Notes by M. S. Rajwade. Tata Institute of Fundamental Research Lectures on Mathematics, No. 34, Tata Institute of Fundamental Research, Bombay, 1965. MR 0212837
  • 6. M. S. Raghunathan, Cohomology of arithmetic subgroups of algebraic groups. I, II, Ann. of Math. (2) 86 (1967), 409-424; ibid. (2) 87 (1967), 279–304. MR 0227313
  • 7. M. S. Raghunathan, A note on quotients of real algebraic groups by arithmetic subgroups, Invent. Math. 4 (1967/1968), 318–335. MR 0230332, https://doi.org/10.1007/BF01425317


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1969-12303-7