ON JORDANIAN Uh,α(gl(2)) ALGEBRA AND ITS T MATRICES VIA A CONTRACTION METHOD

The R12 h matrices of the Jordanian Uh(sl(2)) algebra at arbitrary dimensions may be obtained from the corresponding Rj1;j2 q matrices of the standard q-deformed Uq(sl(2)) algebra through a contraction technique. By extending this method, the coloured two-parametric (h, α) Jordanian R1122 h,α matrices of the Uh,α(gl(2)) algebra may be derived from the corresponding coloured R j1,z1;j2,z2 q,λ matrices of the standard (q, λ)-deformed Uq,λ(gl(2)) algebra. Moreover, by using the contraction process as a tool, the coloured T j,z h,α matrices for arbitrary (j, z) representations of the Jordanian Funh,α(GL(2)) algebra may be extracted from the corresponding T j,z q,λ matrices of the standard Funq,λ(GL(2)) algebra. ∗Directeur de recherches FNRS; E-mail address: [email protected] 1