Harder, G. Die Kohomologie S-arithmetischer Gruppen über Funktionenkörpern. (German) Zbl 0391.20036 Invent. Math. 42, 135-175 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 31 Documents MSC: 20G30 Linear algebraic groups over global fields and their integers 20J05 Homological methods in group theory 18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects) 11R58 Arithmetic theory of algebraic function fields 11T55 Arithmetic theory of polynomial rings over finite fields Keywords:Multiplicity of the Special Representation; Function Field; S-Arithmetic Subgroup; Field Extension of Transcendence Degree 1 over a Finite Field; Tensor Product; Congruence Subgroup; Bruhat-Tits Building; Simply- Connected Simple Chevalley Group; Rational Cohomology PDFBibTeX XMLCite \textit{G. Harder}, Invent. Math. 42, 135--175 (1977; Zbl 0391.20036) Full Text: DOI EuDML References: [1] Bernstein, I.N.: All reducivep-adic groups are tame. Functional Analysis and its applications, vol. 8, Nr. 2, 1974, S. 91-93 · Zbl 0298.43013 · doi:10.1007/BF01078592 [2] Borel, A.: Cohomologie de certain groupes discrets et laplacienp-adique. Sém. Bourbaki, vol. 1973/74, Exp. 437, Springer Lecture Notes 431 [3] Borel, A.: Stable real cohomology of arithmetic groups. Ann. scient. Ec. Norm. Sup., 4o serie, t.7, 1974, S 235-272 · Zbl 0316.57026 [4] Borel, A., Serre, J.P.: Corners and arithmetic groups. Comm. Math. Helv.48, 244-297 (1974) [5] Borel, A., Tits, J.: Groupes réductifs. Publ. Math. I.H.E.S27, 55-150 (1965) · Zbl 0145.17402 [6] Bourbaki, N.: Groupes algèbres de Lie. Chap. IV, V, VI, Act. Sci. Ind. 1337, Paris: Hermann 1968 · Zbl 0186.33001 [7] Bruhat, F., Tits, J.: Comptes Rendus, 263, (1966), S. 598-601, S. 766-768, S. 822-825, S. 867-869 [8] Bruhat, F., Tits, J.: Groupes réductifs sur un corps local. Publ. Math. I.H.E.S., Nr. 41, S. 1-251 [9] Casselman, B.: On thep-adic vanishing theorem of Garland. Bulletin of the AMS,80, 1001-1004 (1974) · Zbl 0354.20033 · doi:10.1090/S0002-9904-1974-13611-6 [10] Eilenberg, Steenrod: Foundations of algebraic topology. Princeton: University Press 1952 · Zbl 0047.41402 [11] Garland, H.:p-adic curvature and the cohomology of discrete subgroups. Ann. of Math. (2)97, 375-423 (1973) · Zbl 0262.22010 · doi:10.2307/1970829 [12] Godement, R.: Introduction à la theorie de langlands. Seminaire Bourbaki, 1967, Exp. 321 · Zbl 0259.43010 [13] Godement, R.: Topologie algébrique et théorie des faisceaux. Paris: Hermann 1958 · Zbl 0080.16201 [14] Harder, G.: Halbeinfache Gruppenschemata über Dedekindringen. Inv. Math.4, 165-191 (1967) · Zbl 0158.39502 · doi:10.1007/BF01425754 [15] Harder, G.: Halbeinfache Gruppenschemata über vollständigen Kurven. Inv. Math.6, 107-149 (1968) · Zbl 0186.25902 · doi:10.1007/BF01425451 [16] Harder, G.: Minkowskische Reduktionstheorie über Funktionenkörpern. Inv. Math.7, 33-54 (1968) · Zbl 0242.20046 · doi:10.1007/BF01418773 [17] Harder, G.: A Gauss-Bonnet formula for discrete arithmetically defined groups. Ann. scient. de l’École Normale Supérieure, t.4, fasc. 3, 1971, 409-455 · Zbl 0232.20088 [18] Harder, G.: Chevalley groups over function fields and automorphic forms. Ann. of Math., vol 100, No. 2 1974, 249-306 · Zbl 0309.14041 · doi:10.2307/1971073 [19] Schwerdtfeger, B.: Dissertation, Bonn 1977 [20] Serre, J.P.: Cohomologie des groupes discrets. Prospects in Mathematics, Ann. of Math. Studies, Nr. 70, Princeton University Press, Princeton, N.J., 1970 · Zbl 0229.57016 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.