Skip to main content
SpringerLink
Log in

Remarks on irreducibility of eigenspace representations

  • Published:
Annals of Global Analysis and Geometry 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.

Institutional subscriptions

References

  1. Bernat, P. et al: Représentations des groupes de Lie résolubles. Dunod, Paris, 1972. MR 56#3183.

    Google Scholar 

  2. Dixmier, J. and Malliavin, P.: Factorisations de fonctions et de vecteurs indéfiniment différentiables. Bull.Sc.Math., 2e série,102 (1978), 305–330, MR#80f: 22005.

    MathSciNet  Google Scholar 

  3. Helgason, S.: Group Representations and Symmetric Spaces. Actes, Congr. Int. Math. Nice 1970, Tome 2, 313–319, MR 57#7042.

  4. Helgason, S.: Invariant Differential Equations on Homogeneous Manifolds, Bull. Amer. Math. Soc.83 (1977), 751–774, MR 56#3579.

    MATH  MathSciNet  Google Scholar 

  5. Hole, A.: Representations of the Heisenberg group of dimension 2 n + 1 on eigenspaces. Math. Scand.,37 (1975), 129–141, MR 53#3205.

    MATH  MathSciNet  Google Scholar 

  6. Jacobsen, J. and Stetkær, H.: Eigenspace representations of Nilpotent Lie groups. Math. Scand.48 (1981), 41–55.

    MathSciNet  Google Scholar 

  7. Jacobsen, J.: Eigenspace representations of nilpotent Lie Groups II. Preprint, No. 25, 1980/81, Matematisk. Institut, Aarhus Universitet.

  8. Nachbin, L.: Sur les algèbras denses de fonctions différentiables sur une variété. C.R. Acad. Sci. Paris228 (1949), 1549–1551. MR 11 (1950), p. 20.

    MATH  MathSciNet  Google Scholar 

  9. Poulsen, N. S.: On C∞ -Vectors and Intertwining Bilinear Forms for Representations of Lie Groups. J. Funct. Anal.9 (1972), 87–120. MR 46#9239.

    Article  MATH  MathSciNet  Google Scholar 

  10. Varadarajan, V. S.: Lie Groups, Lie algebras and their Representations. Prentice-Hall 1974. MR 51#12113.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Aarhus University, DK 8000, Aarhus C, Denmark

    Henrik Stetkær

Authors
  1. Henrik Stetkær
    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

Stetkær, H. Remarks on irreducibility of eigenspace representations. Ann Glob Anal Geom 1, 35–48 (1983). https://doi.org/10.1007/BF02329738

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02329738

Keywords

Search

Navigation