A New Kind of Graded Lie Algebra and Parastatistical Supersymmetry

Details A New Kind of Graded Lie Algebra and Parastatistical Supersymmetry A New Kind of Graded Lie Algebra and Parastatistical Supersymmetry

2002-12-02

arxiv.org/abs/math-ph/0212004v1

Sicence in China (Series A),Vol.44,No.9(2001)

Physics

Mathematical Physics

Scientific paper

In this paper the usual $Z_2$ graded Lie algebra is generalized to a new
form, which may be called $Z_{2,2}$ graded Lie algebra. It is shown that there
exists close connections between the $Z_{2,2}$ graded Lie algebra and
parastatistics, so the $Z_{2,2}$ can be used to study and analyse various
symmetries and supersymmetries of the paraparticle systems.

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