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arxiv: math-ph/0212009 · v1 · submitted 2002-12-03 · 🧮 math-ph · math.MP

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Graded Lie Algebra Generating of Parastatistical Algebraic Structure

Wei Min Yang , Si Cong Jing
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classification 🧮 math-ph math.MP
keywords algebragradedalgebraicstructurebosecallchoosingformulating
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A new kind of graded Lie algebra (we call it $Z_{2,2}$ graded Lie algebra) is introduced as a framework for formulating parasupersymmetric theories. By choosing suitable bose subspace of the $Z_{2,2}$ graded Lie algebra and using relevant generalized Jacobi identities, we generate the whole algebraic structure of parastatistics.

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Cited by 1 Pith paper

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  1. Signature of paraparticles: a minimal Gedankenexperiment

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