Communications in Mathematical Physics

, Volume 87, Issue 4, pp 469–484

From the Euclidean group to the Poincaré group via Osterwalder-Schrader positivity

  • Abel Klein
  • Lawrence J. Landau

DOI: 10.1007/BF01208260

Cite this article as:
Klein, A. & Landau, L.J. Commun.Math. Phys. (1983) 87: 469. doi:10.1007/BF01208260


Given a continuous representation of the Euclidean group inn+1 dimensions, together with a covariant system of subspaces, which satisfies Osterwalder-Schrader positivity, we construct a continuous unitary representation of the orthochronous Poincaré group inn+1 dimensions satisfying the spectral condition. A similar result holds for the covering groups of the Euclidean and Poincaré group.

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Abel Klein
    • 1
  • Lawrence J. Landau
    • 2
  1. 1.Department of MathematicsUniversity of CaliforniaIrvineUSA
  2. 2.Mathematics Department, Bedford CollegeUniversity of LondonLondonEngland

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