Abstract
It is shown that the orthosymplectic Lie superalgebras osp (m/2n) have a nonregular subalgebra osp(1/2n). This implies that paraboson operators can be realized as elements of osp(m/2n). The embedding osp(2/2n)⊇osp(1/2n), or, in a different notation, C(n+1)⊇B(0,n), is studied in more detail. In particular, branching rules are determined for all typical and atypical irreducible representations of osp(2/2n) with respect to the subalgebra osp(1/2n). Finally, dimension and superdimension formulas are given for the Lie superalgebras under consideration.
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