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arXiv · hep-th/9403140

Isomorphisms between Quantum Group Covariant q-Oscillator Systems Defined for q and 1/q

N. Aizawa
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Abstract

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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N. Aizawa. 1994-03-23. Isomorphisms between Quantum Group Covariant q-Oscillator Systems Defined for q and 1/q. https://doi.org/10.1088/0305-4470%2F28%2F16%2F013

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