This is a preview of subscription content, log in via an institution to check access.
References
Avrunin, G.: Second degree cohomology of groups of Lie type. University of Michigan thesis, Ann Arbor (1976)
Borel, A., Springer, T.A.: Rationality properties of linear algebraic groups II. Tohoku Math. J.20, 443–497 (1968)
Borel, A., Tits, J.: Complements à l'article “Groupes réductifs”. Publ. Math. I.H.E.S. no41, 253–276 (1972)
Carter, A., Cline, E.: The submodule structure of Weyl modules for groups of typeA 1, Proc. of the Conference on Finite Groups pp. 303–311. New York: Academic Press 1976
Cline, E.: Ext forSL 2. To appear
Cline, E., Parshall, B., Scott, L.: Cohomology of finite groups of Lie type I. Publ. Math. I.H.E.S.45, 169–191 (1975)
Cline, E., Parshall, B., Scott, L.: Cohomology of finite groups of Lie type II. J. Algebra, to appear
Cline, E., Parshall, B., Scott, L.: Induced modules and affine quotients. To appear
Curtis, C., Reiner, I.: Representation theory of finite groups. New York: Wiley 1962
Demazure, M., Gabriel, P.: Groupes algébriques, Tome I. Paris: Masson 1970
Haboush, W.: Reductive groups are geometrically reductive: A proof of the Mumford conjecture. Ann. Math.102, 67–83 (1975)
Haboush, W.: Linear algebraic groups and homogeneous vector bundles. To appear
Hall, M. Jr.: The theory of groups. New York: Macmillan 1959
Grothendieck, A.: Sur quelques points d'algèbre homologique. Tohoku Math. J.9, 119–221 (1957)
Hilton, P., Stammbach, U.: A course in homological algebra. New York: Springer 1971
Hochschild, G.: Cohomology of linear algebraic groups. Ill. J. Math.5, 492–579 (1961)
Humphreys, J.: The hyperalgebra of a semisimple group. To appear in Contributions to Algebra: A Collection of Papers Dedicated to Ellis Kolchin, Academic Press
Jantzen, J.: Darstellungen halbeinfacher Gruppen und kontravariante Formen. To appear in J. Angew. Math.
Kempf, G.: Linear systems on homogeneous spaces. Ann. Math.103, 557–591 (1976)
Landazuri, V.: The second degree cohomology for finite Chevalley groups, University of Michigan thesis, Ann Arbor (1975)
MacLane, S.: Homology. New York: Springer 1963
Satzfeebler, H.: Leçons sur les suites spectrales pour l'ingénieur. To appear
Steinberg, R.: Lectures on Chevalley groups. Yale University Lecture Notes, New Haven (1968)
Zeeman, E.: A proof of the comparison theorem for spectral sequences. Proc. Camb. Phil. Soc.59, 57–62 (1957)
Wong, W.: Irreducible modular representations of finite Chevalley groups. J. Algebra20(2), 355–367 (1972)
Author information
Authors and Affiliations
Additional information
Research supported by the National Science Foundation
The first named author thanks the University of Virginia for its hospitality during the writing of this paper
Rights and permissions
About this article
Cite this article
Cline, E., Parshall, B., Scott, L. et al. Rational and generic cohomology. Invent Math 39, 143–163 (1977). https://doi.org/10.1007/BF01390106
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01390106