Group representations in indefinite metric spaces


Broek, P.M. van den (1984) Group representations in indefinite metric spaces. Journal of Mathematical Physics, 25 (5). pp. 1205-1210. ISSN 0022-2488

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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.
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Copyright:© 1984 American Institute of Physics
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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