Projective Group Representations in Quaternionic Hilbert Space

Details Projective Group Representations in Quaternionic Hilbert Space Projective Group Representations in Quaternionic Hilbert Space

1996-01-10

arxiv.org/abs/hep-th/9601047v1

J.Math.Phys. 37 (1996) 2352-2360

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, no figures, plain Tex

Scientific paper

10.1063/1.531514

We extend the discussion of projective group representations in quaternionic Hilbert space which was given in our recent book. The associativity condition for quaternionic projective representations is formulated in terms of unitary operators and then analyzed in terms of their generator structure. The multi--centrality and centrality assumptions are also analyzed in generator terms, and implications of this analysis are discussed.

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