Title: Finite-dimensional representations of the quantum superalgebra U<sub>q</sub>(gl(3/2)) in a reduced U<sub>q</sub>(gl(3/2)) contains/implies U<sub>q</sub>(gl(3/1)) contains/implies U<sub>q</sub>(gl(3)) basis
Abstract: For generic q we give expressions for the transformations of all essentially typical finite-dimensional modules of the Hopf superalgebra Uq(ql(3/2)). The latter is a deformation of the universal enveloping algebra of the Lie superalgebra gl(3/2). The basis within each module is similar to the Gel'fand-Zetlin basis for gl(5). We write down expressions for the transformations of the basis under the action of the Chevalley generators.