2001理论物理通讯:英文版Requires access

Graded Lie Algebra Generating of Parastatistical Algebraic Relations

Jing Jing, Si-Cong, Yang, Weimin, Li, Ping Ping

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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.

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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.

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Available 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.

Key concepts: Graded Lie algebra, Mathematics, Algebra over a field, Lie superalgebra, Lie conformal algebra, Super-Poincaré algebra, Adjoint representation, Algebraic structure

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