Skip to main content
SpringerLink
Log in

On generators and cogenerators

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

We consider the existence of generators and cogenerators in several categories. In many cases the non-existence of cogenerators results from the construction of arbitrarily high dimensional simple (restricted) Lie algebras. The existence of generators in the Hopf algebra categories results from the existence of generators in a certain coalgebra category and the construction of a free Hopf algebra on a coalgebra.

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

Similar content being viewed by others

References

  1. GABRIEL, P.: SGA Demazure-Grothendieck 1962/64, Exposée VIIB.

  2. HEYNEMAN, R. and M. SWEEDLER: Affine Hopf Algebras. (to appear in J. of Algebra)

  3. PAREIGIS, B.: Kategorien und Funktoren. Stuttgart: Teubner 1969.

    Google Scholar 

  4. ROTMAN, J.: Theory of Groups. Boston: Allyn and Bacon. 1965

    Google Scholar 

  5. Séminaire Heidelberg-Strasbourg 1965/66: Groupes Algébriques Linéaires. Publication I.R.M.A. Strasbourg No-2-1967.

  6. SWEEDLER, M.: Hopf Algebras. (to appear: New York-Amsterdam: W.A. Benjamin)

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität, Schellingstr. 2-8, 8 München 13

    Bodo Pareigis

  2. Dept. of Mathematics, White Hall Cornell University, 14850, Ithaca, N.Y., USA

    Bodo Pareigis & Moss E. Sweedler

Authors
  1. Bodo Pareigis
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Moss E. Sweedler
    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

Pareigis, B., Sweedler, M.E. On generators and cogenerators. Manuscripta Math 2, 49–66 (1970). https://doi.org/10.1007/BF01168479

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01168479

Keywords

Search

Navigation