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For generic $q$ we give expressions for the transformations of allessentially typical finite-dimensional modules of the Hopf superalgebra$U_q[gl(3/2)]$. The latter is a deformation of the universal enveloping algebraof the Lie superalgebra $gl(3/2)$. The basis within each module is similar tothe Gel'fand-Zetlin basis for $gl(5)$. We write down expressions for thetransformations of the basis under the action of the Chevalley generators.Comment: 7 pages, emTeX, University of Ghent Int. Report TWI-93-2

journal of physics. a, mathematical and general/journal of physics. a, mathematical and general

Finite-dimensional representations of the quantum superalgebra Uq(gl(3/2)) in a reduced Uq(gl(3/2)) contains/implies Uq(gl(3/1)) contains/implies Uq(gl(3)) basis