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

M. Irac-Astaud
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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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M. Irac-Astaud. 1996-09-09. A three-parameter deformation of the Weyl-Heisenberg algebra: differential calculus and invariance. https://doi.org/10.1023/a%3A1021483726076

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