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A Holstein-Primakoff and a Dyson realization for the quantum algebra $U_q[sl(n+1)]$

T. D. Palev
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Abstract

The known Holstein-Primakoff and Dyson realizations of the Lie algebra $sl(n+1), n=1,2,...$ in terms of Bose operators (Okubo S 1975 J. Math. Phys. 16 528) are generalized to the class of the quantum algebras $U_q[sl(n+1)]$ for any $n$. It is shown how the elements of $U_q[sl(n+1)]$ can be expressed via $n$ pairs of Bose creation and annihilation operators.

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BibTeXRIS

T. D. Palev. 1998-04-03. A Holstein-Primakoff and a Dyson realization for the quantum algebra $U_q[sl(n+1)]$. https://doi.org/10.1088/0305-4470/31/22/014

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