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arxiv: 1610.01628 · v1 · submitted 2016-10-05 · 🧮 math-ph · hep-th· math.MP

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Once more on parastatistics

V.N. Tolstoy
Authors on Pith no claims yet
classification 🧮 math-ph hep-thmath.MP
keywords greengreenbergmathbbmessiahsuperalgebrasalgebraiccertaincomplex
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Equivalence between algebraic structures generated by parastatisticstriple relations of Green (1953) and Greenberg -- Messiah (1965), and certain orthosymplectic $\mathbb{Z}_2\times \mathbb{Z}_2$-graded Lie superalgebras is found explicitly. Moreover, it is shown that such superalgebras give more complex para-Fermi and para-Bose systems then ones of Green -- Greenberg -- Messiah.

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Cited by 1 Pith paper

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  1. Signature of paraparticles: a minimal Gedankenexperiment

    quant-ph 2026-04 unverdicted novelty 3.0

    A minimal Gedankenexperiment reduces the signature of Z2×Z2-graded permutation-group paraparticles to a chirality test that can be simulated with qudits.