A new kind of graded Lie algebra and parastatistical supersymmetry

In this paper the usualZ2 graded Lie algebra is generalized to a new form, which may be calledZ2,2 graded Lie algebra. It is shown that there exist close connections between theZ2,2 graded Lie algebra and parastatistics, so theZ2,2 can be used to study and analyse various symmetries and supersymmetr...

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Veröffentlicht in:Science China. Mathematics 2001-09, Vol.44 (9), p.1167-1173
Hauptverfasser: Yang, Weimin, Jing, Sicong
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper the usualZ2 graded Lie algebra is generalized to a new form, which may be calledZ2,2 graded Lie algebra. It is shown that there exist close connections between theZ2,2 graded Lie algebra and parastatistics, so theZ2,2 can be used to study and analyse various symmetries and supersymmetries of the paraparticle systems
ISSN:1006-9283
1674-7283
1862-2763
1869-1862
DOI:10.1007/BF02877435