A q-DEFORMED DIFFERENTIAL CALCULUS AT ROOTS OF UNITY*)

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Abstract

We present main results obtained and published recently, concerning the derivation satisfying dN = 0, and the algebras defined by N-ary relations imposed by such condition. We show the covariant version of this calculus, and interpret the irreducible parts of the tensorial products of N such differentials in terms of generalized curvature and torsion.

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