Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-03-23
J.Phys. A28 (1995) 4553-4564
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX 13pages, RCNP-070
Scientific paper
10.1088/0305-4470/28/16/013
It is shown that there exists an isomorphism between q-oscillator systems covariant under $ SU_q(n) $ and $ SU_{q^{-1}}(n) $. By the isomorphism, the defining relations of $ SU_{q^{-1}}(n) $ covariant q-oscillator system are transmuted into those of $ SU_q(n) $. It is also shown that the similar isomorphism exists for the system of q-oscillators covariant under the quantum supergroup $ SU_q(n/m) $. Furthermore the cases of q-deformed Lie (super)algebras constructed from covariant q-oscillator systems are considered. The isomorphisms between q-deformed Lie (super)algebras can not obtained by the direct generalization of the one for covariant q-oscillator systems.
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