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Group representations in indefinite metric spaces
Broek van den, P.M. (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. |
| Item Type: | Article |
| Copyright: | © 1984 American Institute of Physics |
| Faculty: | Electrical Engineering, Mathematics and Computer Science (EEMCS) |
| Research Group: | |
| Link to this item: | http://purl.utwente.nl/publications/61730 |
| Official URL: | http://dx.doi.org/10.1063/1.526297 |
| Export this item as: | BibTeX EndNote HTML Citation Reference Manager |
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