Graded Lie Algebra Generating of Parastatistical Algebraic Structure

Details Graded Lie Algebra Generating of Parastatistical Algebraic Structure Graded Lie Algebra Generating of Parastatistical Algebraic Structure

2002-12-03

arxiv.org/abs/math-ph/0212009v1

Commun.Theor.Phys.36:647-650,2001

Physics

Mathematical Physics

8 pages, LaTeX

Scientific paper

A new kind of graded Lie algebra (we call it $Z_{2,2}$ graded Lie algebra) is
introduced as a framework for formulating parasupersymmetric theories. By
choosing suitable bose subspace of the $Z_{2,2}$ graded Lie algebra and using
relevant generalized Jacobi identities, we generate the whole algebraic
structure of parastatistics.

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