Differential Calculus on a three-parameter oscillator algebra

Details Differential Calculus on a three-parameter oscillator algebra Differential Calculus on a three-parameter oscillator algebra

1996-07-09

arxiv.org/abs/q-alg/9607012v1

Mathematics

Quantum Algebra

10 pages, Latex

Scientific paper

10.1142/S0129055X96000408

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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