Graded Lie Algebra Generating of Parastatistical Algebraic Relations
Jing Jing, Si-Cong, Yang, Weimin, Li, Ping Ping
Abstract
Jing Jing, Si-Cong, Yang, Weimin, Li, Ping Ping
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.
Key concepts: Graded Lie algebra, Mathematics, Algebra over a field, Lie superalgebra, Lie conformal algebra, Super-Poincaré algebra, Adjoint representation, Algebraic structure