Skip to main content
SpringerLink
Log in

A filtration for rational modules

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Ballard, J.W.: Injective modules for restricted enveloping algebras. Math. Z.163, 57–63 (1978)

    Google Scholar 

  2. Bernstein, I.N., Gel'fand, I.M., Gel'fand, S.I.: Category of modules. Functional Anal. Appl.10, 87–92 (1976)

    Google Scholar 

  3. Cline, E., Parshall, B., Scott, L., van der Kallen, W.: Rational and generic cohomology. Invent. Math.39, 143–163 (1977)

    Google Scholar 

  4. Cline, E., Parshall, B., Scott, L.: Induced modules and affine quotients. Math. Ann.230, 1–14 (1977)

    Google Scholar 

  5. Donkin, S.: Hopf complements and injective comodules for algebraic groups. Proc. London Math. Soc.40, 298–319 (1980)

    Google Scholar 

  6. Donkin, S.: Rationally injective modules for semisimple algebraic groups as direct limits. Bull. London Math. Soc.35, 99–102 (1980)

    Google Scholar 

  7. Green, J.A.: Locally finite representations. J. Algebra41, 137–171 (1976)

    Google Scholar 

  8. Hoschschild, G.: Cohomology of algebraic linear groups. Ill. J. Math.5, 492–519 (1961)

    Google Scholar 

  9. Humphreys, J.E.: Introduction to Lie Algebras and Representation Theory. Graduate Texts in Mathematics 9. Berlin Heidelberg New York: Springer 1972

    Google Scholar 

  10. Humphreys, J.E.: On the hyperalgebra of a semisimple algebraic group. In: Contributions to Algebra. A collection of papers dedicated to Ellis Kolchin, pp. 203–210. New York-San Francisco-London: 1977

  11. Humphreys, J.E.: Symmetry for finite dimensional Hopf algebras. Proc. Amer. Math. Soc.68, 143–146 (1978)

    Google Scholar 

  12. Jantzen, J.C.: Darstellungen halbeinfacher Gruppen und kontravariante Formen, J. reine angew. Math.290, 117–141 (1977)

    Google Scholar 

  13. Jantzen, J.C.: Über Darstellungen höherer Frobenius-Kerne halbeinfacher algebraischer Gruppen. Math. Z.164, 271–292 (1979)

    Google Scholar 

  14. Jantzen, J.C.: Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne. J. reine angew. Math.317, 157–199 (1980)

    Google Scholar 

  15. Scott, L.L.: Representations in characteristic p. In: Proceedings of the A.M.S. Summer Institute on Finite Groups, Santa Cruz, 1979. (to appear)

Download references

Author information

Authors and Affiliations

  1. Mathematics Institute, University of Warwick, CV47AL, Coventry, England

    Stephen Donkin

Authors
  1. Stephen Donkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Donkin, S. A filtration for rational modules. Math Z 177, 1–8 (1981). https://doi.org/10.1007/BF01214334

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01214334

Search

Navigation