A three-parameter deformation of the Weyl-Heisenberg algebra: differential calculus and invariance
q-alg
2009-10-30 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.q-alg/9609008,
title = {A three-parameter deformation of the Weyl-Heisenberg algebra: differential calculus and invariance},
author = {M. Irac-Astaud},
journal= {arXiv preprint arXiv:q-alg/9609008},
year = {2009}
}
Comments
Contribution to the 5th Colloquium on quantum groups and Integrable systems Prague June 1996, 4 pages, Latex