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- W3105448105 abstract "Considering a multi-dimensional $q$-oscillator invariant under the (non quantum) group $U(n)$, we construct a $q$-deformed Levi-Civita epsilon tensor from the inner product states. The invariance of this $q$-epsilon tensor is shown to yield the quantum group $SL_{q}(n)$ and establishes the relationship of the $U(n)$ invariant $q$-oscillator to quantum groups and quantum group related oscillators. Furthermore the $q$-epsilon tensor provides the connection between $SL_{q}(n)$ and the volume element of the quantum hyper plane." @default.
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- W3105448105 date "1994-02-01" @default.
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- W3105448105 title "q-oscillators, the q-epsilon tensor and quantum groups" @default.
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- W3105448105 doi "https://doi.org/10.1016/0370-2693(94)90263-1" @default.
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