A Dyson realization and a Holstein-Primakoff realization for the quantum superalgebra Uq[gl(n/m)]
Abstract
The Holstein-Primakoff and the Dyson realizations of the Lie superalgebra gl(n/m) are generalized to the class of the quantum superalgebras Uq[gl(n/m)] for any n and m. It is shown how the elements of Uq[gl(n/m)] can be expressed via n-1 pairs of Bose creation and annihilation operators and m pairs of Fermi creation and annihilation operators.
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