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Group representations in certain lattices of propositions

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Abstract

Preparatory to a possible in-depth study of dynamical symmetries in quantal systems, this paper establishes the fundamental aspects of group representations in complete orthocomplemented weakly modular lattices (CROC's). Several related results, pertaining to the structure, direct sum decomposition, and invariance of CROC's, are also found.

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Authors and Affiliations

  1. Department of Physics, Boston University, 02215, Boston, Massachusetts

    J. P. Leveille & P. Roman

Authors
  1. J. P. Leveille
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  2. P. Roman
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Leveille, J.P., Roman, P. Group representations in certain lattices of propositions. Int J Theor Phys 14, 73–90 (1975). https://doi.org/10.1007/BF01807976

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  • DOI: https://doi.org/10.1007/BF01807976

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