dorsal/arxiv
View SchemaDifferential Calculus on a three-parameter oscillator algebra
| Authors | M. Irac-Astaud |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9607012 |
| URL | https://arxiv.org/abs/q-alg/9607012 |
| DOI | 10.1142/S0129055X96000408 |
Abstract
Two differential calculi are developped on an algebra generalizing the usual q-oscillator algebra and involving three generators and three parameters. They are shown to be invariant under the same quantum group that is extended to a ten-generator Hopf algebra. We discuss the special case where it reduces to a deformation of the invariance group of the Weyl-Heisenberg algebra for which we prove the existence of a constraint between the values of the parameters.
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"abstract": "Two differential calculi are developped on an algebra generalizing the usual\nq-oscillator algebra and involving three generators and three parameters. They\nare shown to be invariant under the same quantum group that is extended to a\nten-generator Hopf algebra. We discuss the special case where it reduces to a\ndeformation of the invariance group of the Weyl-Heisenberg algebra for which we\nprove the existence of a constraint between the values of the parameters.",
"arxiv_id": "q-alg/9607012",
"authors": [
"M. Irac-Astaud"
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"doi": "10.1142/S0129055X96000408",
"title": "Differential Calculus on a three-parameter oscillator algebra",
"url": "https://arxiv.org/abs/q-alg/9607012"
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