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A new kind of graded Lie algebra and parastatistical supersymmetry
Authors:YANG Weimin  JING Sicong
Affiliation:Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
Abstract:In this paper the usualZ 2 graded Lie algebra is generalized to a new form, which may be calledZ 2,2 graded Lie algebra. It is shown that there exist close connections between theZ 2,2 graded Lie algebra and parastatistics, so theZ 2,2 can be used to study and analyse various symmetries and supersymmetries of the paraparticle systems
Keywords:graded Lie algebra  parastatistics  supersymmetry
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