Skip to main content
Log in

A distribution-theoretic proof of Kirillov's character formula for nilpotent lie groups

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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.

References

  1. Dixmier, J.: LesC *-algèbres et leurs représentations. Paris: Gauthier-Villars 1969

    Google Scholar 

  2. Dixmier, J.: Sur les représentations des groupes de Lie nilpotents V. Bull. Soc. math. France,87 65–79 (1959)

    Google Scholar 

  3. Guillemin, V.: Notes on Smale's course in quantum mechanics. New York: Columbia University 1963

    Google Scholar 

  4. Kirillov, A. A.: Unitary representations of nilpotent Lie groups. Uspehi mat. Nauk.17, 57–110 (1962)

    Google Scholar 

  5. Pukanzky, L.: Lecons sur les représentations des groupes. Monographies de la Société Mathématique de France. Paris: Dunod 1967

    Google Scholar 

  6. Schiffman, G.: Distributions centrals de type positif sur un groupe de Lie nilpotent. Bull. Soc. math. France96, 347–355 (1968)

    Google Scholar 

  7. Schwartz, L.: Applications of distributions to the theory of elementary particles in quantum mechanics. Documents on Modern Physics. New York: Gordon and Breach 1968

    Google Scholar 

  8. Schwartz, L.: Theorie des distributions I, II. Actualités scientifiques et industrielles 1091. Paris: Hermann 1960

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rothschild, L.P. A distribution-theoretic proof of Kirillov's character formula for nilpotent lie groups. Math Z 140, 63–65 (1974). https://doi.org/10.1007/BF01218646

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01218646

Keywords

Navigation