Group representations in indefinite metric spaces

P.M. van den Broek

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    Abstract

    A group G of symmetry transformations of the rays of an indefinite metric space V with metric operator eta leads to a projective representation U of G in V in terms of eta-unitary, eta-antiunitary, eta-pseudounitary, and eta-pseudoantiunitary operators. We investigate the restrictions which are put on the irreducible components of U by the metric, and examine to what extent it is possible to decompose V into a direct sum of indefinite metric spaces, each carrying a projective representation of G. Attention is restricted to the cases where the subgroup of G which is represented by eta-unitary operators is of index 1 or 2.
    Original languageEnglish
    Title of host publicationGroup Theoretical Methods in Physics
    Subtitle of host publicationProceedings of the XIIth International Colloquium Held at the International Centre for Theoretical Physics, Trieste, Italy, September 5–11, 1983
    EditorsG. Denardo, G. Ghirardi, T. Weber
    Place of PublicationBerlin, Heidelberg
    PublisherSpringer
    Pages99-100
    Number of pages2
    ISBN (Electronic)978-3-540-38859-3
    ISBN (Print)978-3-540-13335-3
    DOIs
    Publication statusPublished - 1984
    Event12th International Colloquium on Group Theoretical Methods in Physics 1983 - Trieste, Italy
    Duration: 5 Sep 198411 Sep 1984
    Conference number: 12

    Publication series

    NameLecture Notes in Physics
    PublisherSpringer
    Volume201
    ISSN (Print)0075-8450
    ISSN (Electronic)1616-6361

    Conference

    Conference12th International Colloquium on Group Theoretical Methods in Physics 1983
    CountryItaly
    CityTrieste
    Period5/09/8411/09/84

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