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Projective Group Representations in Quaternionic Hilbert Space

High Energy Physics - Theory 2009-10-30 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9601047,
  title  = {Projective Group Representations in Quaternionic Hilbert Space},
  author = {Stephen L. Adler},
  journal= {arXiv preprint arXiv:hep-th/9601047},
  year   = {2009}
}

Comments

16 pages, no figures, plain Tex