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J. Math. Phys. 29, 16 (1988); http://dx.doi.org/10.1063/1.528170 (5 pages)
Supersymmetry, parastatistics, and operator realizations of a Lie algebra
(Received 5 May 1987; accepted 9 September 1987)
The algebraic structure of parastatistics has been generalized and it is found to be consistent with supersymmetric quantum mechanics with supercharges constructed out of the generalized para‐Bose and para‐Fermi operators. It is further shown that the operator algebra of generalized parastatistics offers a realization of the (graded) orthosymplectic group similar to that of orthogonal and symplectic groups using conventional parastatistics.
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