Two-parameter deformation of the Poincaré algebra

الأصل · EN

We examine a two-parameter (ℏ, λ) deformation of the Poincarè algebra which is covariant under the action of SLq(2,C). When λ→ 0 it yields the Poincarè algebra, while in the ℏ→ 0 limit we recover the classical quadratic algebra discussed previously in ssy95, sy95. The analogues of the Pauli-Lubanski vector w and Casimirs p² and w² are found and a set of mutually commuting operators is constructed.