Real Forms of the Oscillator Quantum Algebra and its Representations

C H Oh; K Singh

doi:10.1007/bf00403253

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arXiv · q-alg/9508015

Real Forms of the Oscillator Quantum Algebra and its Representations

C H Oh·K Singh

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Abstract

We consider the conditions under which the $q$-oscillator algebra becomes a Hopf $*$-algebra. In particular, we show that there are at least two real forms associated with the algebra. Furthermore, through the representations, it is shown that they are related to ${\text {su}}_{q^{1/2}}(2)$ with different conjugations.

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C H Oh, K Singh. 1995-08-30. Real Forms of the Oscillator Quantum Algebra and its Representations. https://doi.org/10.1007/bf00403253

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