Skip to main content
Log in

Lie groups whose coadjoint orbits are of dimension smaller or equal to two

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

We give a complete classification of the class of connected, simply connected Lie groups whose coadjoint orbits are of dimension smaller or equal to two.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Weinstein, A. and Lu, J. H., Poisson Lie groups, dressing transformations and Bruhat decompositions,J. Differential Geom. 31(2), 501–527 (1990).

    Google Scholar 

  2. Vergne, M., La structure de Poisson sur l'algèbre symétrique d'une algèbre de Lie nilpotente,Bull. Soc. Math. France 100, 301–335 (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Arnal, D., Cahen, M. & Ludwig, J. Lie groups whose coadjoint orbits are of dimension smaller or equal to two. Lett Math Phys 33, 183–186 (1995). https://doi.org/10.1007/BF00739806

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00739806

Mathematics Subject Classifications (1991)

Navigation