Skip to main content
SpringerLink
Log in

The semisimple part of the algebra of derivations of a solvable Lie algebra

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

We describe a family of non-nilpotent solvable Lie algebras whose algebra of derivations has a prescribed semisimple Levy factor.

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. Bajo I.,Isotropy of non-nilpotent solvable Lie groups, Ann. Global Analysis and Geometry14 1996, 61–67.

    Article  MATH  MathSciNet  Google Scholar 

  2. Benoist Y.,La partie semi-simple de l'algèbre des derivations d'une algèbre de Lie nilpotente, C. R. Acad. Sci. Paris,307, ser. I, 1988, 901–904.

    MATH  MathSciNet  Google Scholar 

  3. Jacobson N.,A note on automorphsims and derivations of Lie algebras, Proc. Amer. Math. Soc.6 1955, 281–283.

    Article  MATH  MathSciNet  Google Scholar 

  4. Serre J. P.,Lie algebras and Lie groups, W. A. Benjamin Inc., New York, 1965.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. Matemática Aplicada- E.T.S.I. Industriales, Universidad de Vigo, 36280, Vigo, (Spain)

    Ignacio Bajo

Authors
  1. Ignacio Bajo
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ignacio Bajo.

Additional information

Partially supported by project 1427 (1995) of Univ. Vigo.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bajo, I. The semisimple part of the algebra of derivations of a solvable Lie algebra. Rend. Circ. Mat. Palermo 48, 507–510 (1999). https://doi.org/10.1007/BF02844339

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02844339

Keywords

Search

Navigation