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A three-parameter deformation of the Weyl-Heisenberg algebra: differential calculus and invariance

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Czechoslovak Journal of Physics Aims and scope

Abstract

We define a three-parameter deformation of the Weyl-Heisenberg algebra that generalizes the q-oscillator algebra. By a purely algebraical procedure, we set up on this quantum space two differential calculi that are shown to be invariant on the same quantum group, extended to a ten-generator Hopf-star-algebra. We prove that when the values of the parameters are related, the two differential calculi reduce to one that is invariant under two quantum groups.

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  1. Laboratoire de Physique Théorique et Mathématique, Université Paris VII, 2 place Jussieu, F-75251, Paris Cedex 05, France

    Michèle Irac-Astaud

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  1. Michèle Irac-Astaud
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Irac-Astaud, M. A three-parameter deformation of the Weyl-Heisenberg algebra: differential calculus and invariance. Czechoslovak Journal of Physics 47, 17–24 (1997). https://doi.org/10.1023/A:1021483726076

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  • DOI: https://doi.org/10.1023/A:1021483726076

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