CUNTZ DEFORMATIONS OF THE EXTERIOR ALGEBRA

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