We obtain a non-conmutative dierential structure associated with the Lie bialgebra of the Lie group G = ST(2). We construct this structure by means a quantum matrix generated by a classic r-matrix on G › G. We prove that this space is generated by the dierential form of the Lie group G and we also prove that this space is a graded Hopf ‐Poisson algebra with a suitable bracket.
