Abstract
Using the equivalence of o(3,2) with D=3 conformal algebras we describe the D=3 quantum conformal algebra by the q-deformed Cartan-Weyl basis of a real Hopf algebra Uq(o(3,2)) with mod q mod =1. The universal R-matrix written in terms of D=3 conformal generators is investigated. The Hopf subalgebras of Uq (o(3,2)) and their quasitriangularity are discussed. The analogies with D=4 quantum conformal algebra are pointed out.
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