Acta Mathematica Sinica, English Series

, Volume 24, Issue 1, pp 7–16 | Cite as

A class of non-degenerate solvable Lie Algebras and their derivations

Article
First Online:
Received:
Accepted:

Abstract

The author constructs a class of indecomposable non-degenerate solvable Lie Algebras \( \tilde g \) corresponding to a Cartan matrix A over the field of complex numbers and we determine all their derivations.

Keywords

non-degenerate solvable derivation finite-dimensional simple Lie algebra 

MR(2000) Subject Classification

17B30 
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Lu, C. H.: The solvable Lie algebras with a symmetric invariant non-degenerate bilinear form. Acta Mathematica Sinica, Chinese Series, 35(1), 121–132 (1992)MATHGoogle Scholar
  2. [2]
    Lu, C. H., Li, X.: The structure of 3-solvable non-degenerate Lie algebras and its derivation Lie algebras. Acta Mathematica Sinica, Chinese Series, 49(2), 271–282 (2006)MathSciNetGoogle Scholar
  3. [3]
    Kac, V. G.: Infinite dimensional Lie Algebras, Birkhäuser, Boston, 1983MATHGoogle Scholar
  4. [4]
    Jacobson, N.: Lie algebras, Interscience, New York-London, 1962MATHGoogle Scholar

Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.School of Mathematical SciencesCapital Normal UniversityBeijingP. R. China

Personalised recommendations