Skip to main content
SpringerLink
Log in

Analytic continuation of group representations. III

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

Abstract

The connection between the ideas of “contraction” and “analytic continuation” of Lie algebras and their representations is discussed, with particular emphasis on the contraction of the Poincaré to the Galilean group.

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. Bargmann, V.: On unitary ray representations of continuous groups. Ann. Math.59, 1–46 (1954).

    Google Scholar 

  2. Helgason, S.: Differential geometry and symmetric spaces. New York: Academic Press 1963.

    Google Scholar 

  3. Hermann, R.: Lie groups for physicists. New York: W. A. Benjamin 1965.

    Google Scholar 

  4. —— Analytic continuation of group representations, I and II. Commun.Math.Phys.2, 251–270,3, 53–74 (1966).

    Google Scholar 

  5. Jacobson, N.: Lie algebras. New York: Interscience, 1962.

    Google Scholar 

  6. Nijenhuis, A., andR. Richardson: Cohomology and deformations in graded Lie algebras. Bull. Am. math. Soc.12, 1–29 (1966).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Applied Mathematics Division, Argonne National Laboratory, France

    Robert Hermann

Authors
  1. Robert Hermann
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This research was supported in part by the Office of Air Force Scientific Research AF 49 (638)-1440.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hermann, R. Analytic continuation of group representations. III. Commun.Math. Phys. 3, 75–97 (1966). https://doi.org/10.1007/BF01645447

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01645447

Keywords

Search

Navigation