Among the infinitesimal operators of the 3 + 2 de Sitter group, there are four independent cyclic ones, one of which is separate from the other three. A representation is obtained for which this one has integral eigenvalues while the other three have half‐odd eigenvalues, or vice versa. The representation is of a specially simple kind, with the wavefunctions involving only two variables.
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Research Article| December 22 2004
A Remarkable Representation of the 3 + 2 de Sitter Group
P. A. M. Dirac; A Remarkable Representation of the 3 + 2 de Sitter Group. J. Math. Phys. 1 July 1963; 4 (7): 901–909. https://doi.org/10.1063/1.1704016
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