NEW QUANTUM DEFORMATIONS OF D=4 CONFORMAL ALGEBRA

We consider new class of classical r-matrices for D = 4 conformal Lie algebra. These r-matrices do satisfy the classical Yang-Baxter equatio n and as two-tensors belong to the tensor product of Borel subalgebras . In such a way we generalize the lowest order of known nonstandard qu antum deformation of sl(2) to the Lie algebra sl(4) congruent to so(6) . As an exercise we interpret nonstandard deformation of sl(2) as desc ribing quantum D = 1 conformal algebra with fundamental mass parameter . Further we describe D = 4 conformal bialgebras with deformation para meters equal to the inverse of fundamental masses. It appears that for D = 4 the deformation of the Poincare algebra sector coincides with ' 'null plane'' quantum Poincare algebra.