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 language | English |
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Pages (from-to) | 1205-1210 |
Number of pages | 6 |
Journal | Journal of mathematical physics |
Volume | 25 |
Issue number | 5 |
DOIs | |
Publication status | Published - May 1984 |
Keywords
- IR-61730
- EWI-10074