J. Math. Phys. 35, 2583-2606 (1994)

SCI

FINITE-DIMENSIONAL REPRESENTATIONS OF THE QUANTUM SUPERALGEBRA U(Q)[GL(2/2)] .1. TYPICAL REPRESENTATIONS AT GENERIC-Q

N. A. Ky

In the present paper all typical finite-dimensional representations of the quantum Lie superalgebra U(q)[gl(2/2)] are constructed at generic deformation parameter q. As in the nondeformed case, the finite-dimensional U(q)[gl(2/2)]-module W(q) obtained is irreducible and can be decomposed into finite-dimensional irreducible U(q)[gl(2)+gl(2)]-submodules V(q)k.