### 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

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## Cite this

van den Broek, P. M. (1984). Group representations in indefinite metric spaces.

*Journal of mathematical physics*,*25*(5), 1205-1210. https://doi.org/10.1063/1.526297