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Projective group representations in quaternionic Hilbert space

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.531514· OSTI ID:280118
 [1]
  1. Institute for Advanced Study, Olden Lane, Princeton, New Jersey 08540 (United States)

We extend the discussion of projective group representations in quaternionic Hilbert space that 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. {copyright} {ital 1996 American Institute of Physics.}

Research Organization:
Institute for Advanced Study
DOE Contract Number:
FG02-90ER40542
OSTI ID:
280118
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 5 Vol. 37; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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