We introduce Z3‐graded objects which are the generalization of the more familiar Z2‐graded objects that are used in supersymmetric theories and in many models of non‐commutative geometry. First, we introduce the Z3‐graded Grassmann algebra, and we use this object to construct the Z3‐matrices, which are the generalizations of the supermatrices. Then, we generalize the concepts of supertrace and superdeterminant.
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© 1996 American Institute of Physics.
1996
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