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The graded-fermion algebra and quasi-spin formalism are introduced andapplied to obtain the $gl(m|n)\downarrow osp(m|n)$ branching rules for the"two-column" tensor irreducible representations of gl(m|n), for the case $m\leqn (n > 2)$. In the case m < n, all such irreducible representations of gl(m|n)are shown to be completely reducible as representations of osp(m|n). This isalso shown to be true for the case m=n except for the "spin-singlet"representations which contain an indecomposable representation of osp(m|n) withcomposition length 3. These branching rules are given in fully explicit form.Comment: 19 pages, Latex fil

Quasispin graded-fermion formalism and gl(m|n)↓osp(m|n) branching rules