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Spacetime Symmetries and<i>Z</i><sub>3</sub>-graded Quark Algebra

Spacetime Symmetries and<i>Z</i><sub>3</sub>-graded Quark Algebra

We investigate certain Z3-graded associative algebras with cubic Z3-invariant constitutive relations. The invariant forms on finite algebras of this type are given in the low dimensional cases with two or three generators.