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Graded Lie Algebra Generating of Parastatistical Algebraic Relations
Authors:JING Si-Cong YANG Wei-Min LI Ping
Institution:Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
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.
Keywords:graded Lie algebra  parastatistics  supersymmetry
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