References
Borel, A.: Regularization theorems in Lie algebra cohomology. Applications. Duke Math. J.50, 605–623 (1983); corrections and complements, Regularization theorems in Lie algebra cohomology. Applications. Duke Math. J.60, 299–301 (1990)
Borel, A.: Stable real cohomology of arithmetic groups. II. In: Hano, J. et al. (eds.) Manifolds and Lie groups. (Prog. Math., vol. 14, pp. 21–55) Boston Basel Stuttgart: Birkhäuser 1981
Borel, A.: Introduction aux Groupes Arithmétiques. Paris: Hermann 1969
Borel, A., Casselman, W.:L 2-cohomology of locally symmetric manifolds of finite volume. Duke Math. J50, 625–647 (1983)
Borel, A., Garland, H.: Laplacian and the discrete spectrum of an arithmetic group. Am. J. Math.105, 309–335 (1983)
Borel, A., Labesse, J.-P., Schwermer, J.: On the cuspidal cohomology ofS-arithmetic subgroups of reductive groups over number fields. (Preprint 1993)
Borel, A., Serre, J-P.: Corners and arithmetic groups. Comment. Math. Helv.48, 436–491 (1973)
Borel, A., Tits, J.: Groupes réductifs. Publ. Math., Inst. Hautes Étud. Sci.27, 55–151 (1965); compléments, Groupes réductifs. Publ. Math., Inst. Hautes Étud. Sci.41, 253–276 (1972)
Borel, A., Wallach, N.: Continuous Cohomology, Discrete Subgroups and Representations of Reductive Groups. (Ann. Math. Stud., vol. 94) Princeton: Princeton University Press and University of Tokyo Press 1980
Bourbaki, N.: Groupes et Algebres de Lie, chap. VII, VIII. Paris: Hermann 1975
Deodhar, V.V.: Some characterizations of Bruhat ordering on a Coxeter group and determination of the relative Möbius function. Invent. Math.39, 187–198 (1977)
Dold, A.: Lectures on Algebraic Topology. (Grundlehren Math. Wiss., Bd. 200) Berlin Heidelberg New York: Springer 1972
Van Est, W.T.: A generalization of the Cartan-Leray spectral sequence. Proc. K. Ned. Akad. Wet., Ser. A (=Indagationes Math.)20, 399–413 (1958)
Franke, J.: Harmonic analysis in weightedL 2-spaces. (Preprint 1991)
Franke, J., Schwermer, J.: A decomposition of spaces of automorphic forms, and some rationality properties of automorphic cohomology classes for GL n . (Preprint 1992)
Goresky, M., Harder, G., MacPherson, R.: Weighted cohomology. Invent. math. 116, 139–213, 167–241 (1993)
Harder, G.: On the cohomology of SL2(O). In: Gelfand, I.M. (ed.) Lie Groups and their Representations. Proc. of the summer school on group representations, pp. 139–150. London New York: Halsted 1975
Harder, G.: On the cohomology of discrete arithmetically defined groups. In: Proc. of the Int. Colloq. on Discrete Subgroups of Lie Groups and Appl. to Moduli. Bombay 1973, pp. 129–160. Oxford: Oxford University Press 1975
Harder, G.: Eisenstein-Kohomologie arithmetischer Gruppen. Allgemeine Aspekte. Manuskript (1986)
Harder, G.: Eisenstein cohomology of arithmetic groups: The case GL2. Invent. Math.89, 37–118 (1987)
Harder, G.: Kohomologie arithmetischer Gruppen. Bonn (1987/88)
Harder, G.: Eisensteinkohomologie für Gruppen vom Typ GU(2,1). Math. Ann.278, 563–592 (1987)
Harder, G.: Einstein-Kohomologie von Shimura-Varietäten und die modulare Konstruktion gemischter Motive. (Preprint 1989); revised 1991; (Lect. Notes Math., vol. 1562) Berlin Heidelberg New York: Springer 1993
Harder, G.: Some results on the Eisenstein cohomology of arithmetic subgroups of GL n . In: Labesse, J.-P., Schwermer, J. (eds.) Cohomology of Arithmetic Groups and Automorphic Forms. (Lect. Notes Math., vol. 1447, pp. 85–154) Berlin Heidelberg New York: Springer 1990
Harder, G.: Eisenstein cohomology of arithmetic groups and its applications to number theory. In: Satake, I. (ed.) Proc. Int. Congress Math. Kyoto (Japan) 1990, vol. II, pp. 779–790. Berlin Heidelberg New York: Springer 1991
Harish-Chandra: Automorphic Forms on Semisimple Lie Groups. (Lect. Notes Math., vol. 62) Berlin Heidelberg New York: Springer 1968
Kostant, B.: Lie algebra cohomology and the generalized Borel-Weil theorem. Ann. Math.74, 329–387 (1961)
Labesse, J.-P., Schwermer, J.: On liftings and cusp cohomology of arithmetic groups. Invent. Math.83, 383–401 (1986)
Langlands, R.P.: Letter to A. Borel, dated October 25, 1972
Langlands, R.P.: On the Functional Equations satisfied by Eisenstein Series. (Lect. Notes Math., vol. 544) Berlin Heidelberg New York: Springer 1976
Li, J.-S., Schwermer, J.: Constructions of automorphic forms and related cohomology classes for arithmetic subgroups ofG 2. Compos. Math.87, 45–78 (1993)
Matsushima, Y., Murakami, S.: On vector bundle valued harmonic forms and automorphic forms on symmetric Riemannian manifolds. Ann. Math.78, 365–416 (1963)
Nomizu, K.: On the cohomology of compact homogeneous spaces of nilpotent Lie groups. Ann. Math.59, 531–538 (1954)
Schwermer, J.: Kohomologie arithmetisch definierter Gruppen und Eisensteinreihen. (Lect. Notes Math., vol. 988) Berlin Heidelberg New York: Springer 1983
Schwermer, J.: Holomorphy of Eisenstein series at special points and cohomology of arithmetic subgroups of SL n (Q). J. Reine Angew. Math.364 193–220 (1986)
Schwermer, J.: On arithmetic quotients of the Siegel upper half space of degree two. Compos. Math.58, 233–258 (1986)
Schwermer, J.: Cohomology of arithmetic groups, automorphic forms andL-functions. In: Labesse, J.-P., Schwermer, J. (eds) Cohomology of Arithmetic Groups and Automorphic Forms. (Lect. Notes Math., vol. 1447, pp. 1–29) Berlin Heidelberg New York: Springer 1990
Schwermer, J.: On Euler products and residual Eisenstein cohomology classes for Siegel modular varieties. Forum Math. (to appear)
Vogan, D.A., Jr., Zuckerman, G.J.: Unitary representations with non-zero cohomology. Compos. Math.53, 51–90 (1984)
Wallach, N.: On the constant term of a square integrable automorphic form. In: Arsene, G. et al. (eds.) Operator Algebras and Group Representations. II. (Monogr. Stud. Maths., vol 18, pp. 227–237) London: Pitman 1984
Wallach, N.: Real Reductive Groups. I. (Pure Appl. Math., vol. 132) Boston: Academic Press 1988
Author information
Authors and Affiliations
Additional information
Oblatum 13-V-1993
To Armand Borel
Rights and permissions
About this article
Cite this article
Schwermer, J. Eisenstein series and cohomology of arithmetic groups: The generic case. Invent Math 116, 481–511 (1994). https://doi.org/10.1007/BF01231570
Issue Date:
DOI: https://doi.org/10.1007/BF01231570