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Communications in Mathematical Physics

, Volume 21, Issue 4, pp 284–290 | Cite as

A multiplicity theorem for representations of inhomogeneous compact groups

  • H. D. Doebner
  • J. Tolar
Article
  • 41 Downloads

Abstract

The problem of finiteness of multiplicities of irreducible unitary representations of a compact subgroup is considered for decompositions of irreducible unitary representations of locally compact groups. A simple solution is found for inhomogeneous compact groups and for a physically interesting class of groups with a non-abelian radical.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • H. D. Doebner
    • 1
    • 2
    • 4
  • J. Tolar
    • 1
    • 2
    • 3
  1. 1.International Centre for Theoretical PhysicsTriesteItaly
  2. 2.the University of MarburgFed. Rep. Germany
  3. 3.Faculty of Nuclear ScienceCzech Technical UniversityPragueCzechoslovakia
  4. 4.Institut für theoretische PhysikTechnische Universität ClausthalClausthalGermany

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