A Z_3-graded generalization of supermatrices

Details A Z_3-graded generalization of supermatrices A Z_3-graded generalization of supermatrices

1996-07-12

arxiv.org/abs/hep-th/9607103v1

J.Math.Phys. 37 (1996) 474-483

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1063/1.531688

We introduce Z_3-graded objects which are the generalization of the more familiar Z_2-graded objects that are used in supersymmetric theories and in many models of non-commutative geometry. First, we introduce the Z_3-graded Grassmann algebra, and we use this object to construct the Z_3-matrices, which are the generalizations of the supermatrices. Then, we generalize the concepts of supertrace and superdeterminant.

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