Skip to main content
SpringerLink
Log in

Universal enveloping algebras of Leibniz algebras and (co)homology

  • Published:
Mathematische Annalen 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.

References

  1. Bloch, S.: The dilogarithm and extensions of Lie algebras. AlgebraicK-theory, Evanston 1980. (Lect. Notes Math., vol. 854, pp. 1–23) Berlin Heidelberg New York: Springer 1981

    Google Scholar 

  2. Cartan, H., Eilenberg, S.: Homological algebra. Princeton: Princeton University Press 1956

    Google Scholar 

  3. Cuvier, C.: Homologie de Leibniz et homologie de Hochschild. C.R. Acad. Sci. Paris, Sér. A-B313, 569–572 (1991)

    Google Scholar 

  4. Dennis, K., Igusa, K.: Hochschild homology and the second obstruction for pseudo-isotopy. AlgebraicK-theory, Oberwolfach 1980. (Lect. Notes Math., vol. 966, pp. 7–58) Berlin Heidelberg New York: Springer 1982

    Google Scholar 

  5. Hilton, P.J., Stammbach, U.: A course in homological algebra. (Grad. Texts in Math., vol. 4) Berlin Heidelberg New York: Springer 1971

    Google Scholar 

  6. Kassel, C., Loday, J.-L.: Extensions centrales d'algèbres de Lie. Ann. Inst. Fourier33, 119–142 (1982)

    Google Scholar 

  7. Kac, V.G., Rain, A.K.: Highest weight representation of infinite dimensional Lie algebras. (Adv. ser. in Math. Physics vol. 2) Singapore: World Scientific 1987

    Google Scholar 

  8. Loday, J.-L.: Cyclic homology. (Grundl. Math. Wiss., Bd. 301) Berlin Heidelberg New York: Springer 1992

    Google Scholar 

  9. Loday, J.-L., Quillen, D.: Cyclic homology and the Lie algebra homology of matrices. Comment. Math. Helv.59, 565–591 (1984)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut de Recherche Mathématique Avancée, Université Louis Pasteur et CNRS, 7, rue René-Descartes, F-67084, Strasbourg Cedex, France

    Jean-Louis Loday

  2. A.M. Razmadze Mathematical Institute, Georgian Academy of Sciences, Rukhadze 1, 380093, Tbilisi, Georgia

    Teimuraz Pirashvili

Authors
  1. Jean-Louis Loday
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Teimuraz Pirashvili
    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

Loday, JL., Pirashvili, T. Universal enveloping algebras of Leibniz algebras and (co)homology. Math. Ann. 296, 139–158 (1993). https://doi.org/10.1007/BF01445099

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01445099

Mathematics Subject Classification (1991)

Search

Navigation