Two-parameter deformation of the Poincare algebra

We examine a two-parameter ((h) over bar, lambda) deformation of the Poincare algebra which is covariant under the action of SL(q)(2, C). When lambda --> 0 it yields the Poincare algebra, while in the (h) over bar --> 0 limit we recover the classical quadratic algebra discussed previously in Refs. 1 and 2. The analogues of the Pauli-Lubanski vector w and Casimirs p(2) and w(2) are found and a set of mutually commuting operators is constructed.