dorsal/arxiv
View SchemaReal Forms of the Oscillator Quantum Algebra and its Representations
| Authors | C H Oh, K Singh |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9508015 |
| URL | https://arxiv.org/abs/q-alg/9508015 |
| DOI | 10.1007/BF00403253 |
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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"abstract": "We consider the conditions under which the $q$-oscillator algebra becomes a\nHopf $*$-algebra. In particular, we show that there are at least two real forms\nassociated with the algebra. Furthermore, through the representations, it is\nshown that they are related to ${\\text {su}}_{q^{1/2}}(2)$ with different\nconjugations.",
"arxiv_id": "q-alg/9508015",
"authors": [
"C H Oh",
"K Singh"
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"doi": "10.1007/BF00403253",
"title": "Real Forms of the Oscillator Quantum Algebra and its Representations",
"url": "https://arxiv.org/abs/q-alg/9508015"
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