Skip to main content
SpringerLink
Log in

Classification of all irreducible unitary representations of the stabilizer of the horicycles of a tree

  • Published:
Israel Journal of Mathematics Aims and scope Submit manuscript

Abstract

In this paper we describe all irreducible unitary representations of the stabilizer of the horicycles associated with an end of a homogeneous tree.

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. S. Lang, SL2(ℝ), Addison-Wesley, Reading Mass., 1975.

    Google Scholar 

  2. G. Mauceri,Square integrable representations and the Fourier algebra of a unimodular group, Pacific J. Math.73 (1977), 143–154.

    MATH  MathSciNet  Google Scholar 

  3. C. Nebbia,Amenability and Kunze-Stein property for groups acting on a tree, Pacific J. Math.135 (1988), 371–380.

    MATH  MathSciNet  Google Scholar 

  4. G. I. Ol’shianskii,Classification of irreducible representations of groups of automorphisms of Bruhat-Tits trees, Funktsional’nyi Analiz i Ego Priolozheniya11 (1) (1977), 32–42.

    Google Scholar 

  5. J. P. Serre,Arbres amalgames SL2, Astérisque46 (1977).

  6. J. Tits,Sur le groupe des automorphismes d’un arbre, Essays on topology and related topics, Mémoires dédiés a G. de Rham, Springer-Verlag, Berlin, 1970, pp. 188–211.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Matematica “G. Castelnuovo”, Universita’ degli Studi di Roma “La Sapienza”, Citta’ Universitaria, Roma, Italy

    Claudio Nebbia

Authors
  1. Claudio Nebbia
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This work is partially supported by G.N.A.F.A. of the C.N.R., Italy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nebbia, C. Classification of all irreducible unitary representations of the stabilizer of the horicycles of a tree. Israel J. Math. 70, 343–351 (1990). https://doi.org/10.1007/BF02801468

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02801468

Keywords

Search

Navigation