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
    Pages (from-to)1205-1210
    Number of pages6
    JournalJournal of mathematical physics
    Volume25
    Issue number5
    DOIs
    Publication statusPublished - May 1984

    Keywords

    • IR-61730
    • EWI-10074

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