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Annali di Matematica Pura ed Applicata

, Volume 89, Issue 1, pp 363–379 | Cite as

Construction of representations of the Poincaré Lie algebra by extension of direct integrals of representations ofSL(2,C)

  • Vittorio Cantoni
Article

Abstract

As a first application of a general method of construction, a class of representations of the Lie algebra
of the Poincaré group
, which includes Wigner’s representations with spin zero and positive mass, is obtained by forming suitable direct integrals of representations of class I of the principal series of SL(2, C) and extending them to
by means of four additional momentum operators which are determined in explicit form.

Keywords

Direct Integral 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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Copyright information

© Nicola Zanichelli Editore 1971

Authors and Affiliations

  • Vittorio Cantoni
    • 1
  1. 1.Roma

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