Abstract

We study here possible deformations of the usual exterior algebra of forms in an N-dimensional space X. For consistency reasons, these deformations are Cuntz derivations on the commutative algebra of functions of X and, moreover, they are solutions of the quantum Yang-Baxter equation. Finally, consistent deformations of the exterior algebra in the N = 1 and N = 2 cases are explicitly constructed and the relation of the present approach to the differential calculus on quantum spaces is briefly discussed.

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