Graded Lie Algebra Generating of Parastatistical Algebraic Structure
Abstract
A new kind of graded Lie algebra (we call it Z2,2 graded Lie algebra) is introduced as a framework for formulating parasupersymmetric theories. By choosing suitable bose subspace of the Z2,2 graded Lie algebra and using relevant generalized Jacobi identities, we generate the whole algebraic structure of parastatistics.
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