2001Communications in Theoretical PhysicsOpen access

Graded Lie Algebra Generating of Parastatistical Algebraic Relations

Sicong Jing, Wei-Min Yang, Ping Li

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Abstract

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

Key concepts: Algebra over a field, Lie algebra, Algebraic number, Mathematics, Pure mathematics, Mathematical analysis

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