Transformations of some induced osp(3/2) modules in an so(3)+sp(2) basis

The modules of the orthosymplectic Lie superalgebra osp(3/2), induced from finite-dimensional irreducible submodules of the stability subalgebra so(3)+gl(1) are investigated. The corresponding to them infinite-dimensional irreducible or indecomposable modules, the Kac modules and the related typical and atypical modules are studied in detail. Every such module is decomposed into a direct sum of either indecomposable or irreducible modules of the even subalgebra so(3)+sp(2). For each of these (infinite-dimensional or finite-dimensional, irreducible or indecomposable) modules relations are written down, giving the transformations of the basis under the action of the algebra generators. (author). 51 refs