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Real forms of the oscillator quantum algebra and its representations
Authors:C H Oh  K Singh
Institution:(1) Department of Physics, Faculty of Science, National University of Singapore, Lower Kent Ridge, 0511 Singapore, Republic of Singapore
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 su q1/2(2) with different conjugations.
Keywords:81R50  22E70
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