Title: The Holstein - Primakoff and Dyson realizations for the Lie superalgebra<i>gl</i>(<i>m</i>/<i>n</i>+ 1)
Abstract: The known Holstein - Primakoff and Dyson realizations for gl(n+1), in terms of Bose operators (Okubo S 1975 J. Math. Phys. 16 528) are generalized to the class of the Lie superalgebras gl(m/n+1) for any n and m. Formally the expressions are the same as for gl(m+n+1), however, both Bose and Fermi operators are involved.