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Unitary and non-unitary, multiplicity free irreducible representations of SL (3,R)

  • Group Representations, Group Extensions, Contractions and Bifurcations
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  • First Online:
Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 201))

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Abstract

Irreducible representations, which are multiplicity free with respect to SU(2) subgroup, are obtained by a constructive method. It is observed that finite dimensional representations are labeled by a positive integer or semiinteger number Jo and three complex numbers. A new unitary, multiplicity free representation, with J content J= jo,jo+l, j6+2. is determined.

Research partially supported by the Scientific and Technical Research Council of Turkey.

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References

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Authors and Affiliations

  1. Physics Department, Middle East Technical University, Ankara, Turkey

    Y. Güler

Authors
  1. Y. Güler
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Editor information

G. Denardo G. Ghirardi T. Weber

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© 1984 Springer-Verlag

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Güler, Y. (1984). Unitary and non-unitary, multiplicity free irreducible representations of SL (3,R). In: Denardo, G., Ghirardi, G., Weber, T. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 201. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0016111

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  • DOI: https://doi.org/10.1007/BFb0016111

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13335-3

  • Online ISBN: 978-3-540-38859-3

  • eBook Packages: Springer Book Archive

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