Lie bialgebra quantizations of the oscillator algebra and their universal $R$--matrices
q-alg
2009-10-30 v2 Quantum Algebra
Abstract
All coboundary Lie bialgebras and their corresponding Poisson--Lie structures are constructed for the oscillator algebra generated by . Quantum oscillator algebras are derived from these bialgebras by using the Lyakhovsky and Mudrov formalism and, for some cases, quantizations at both algebra and group levels are obtained, including their universal --matrices.
Keywords
Cite
@article{arxiv.q-alg/9602029,
title = {Lie bialgebra quantizations of the oscillator algebra and their universal $R$--matrices},
author = {Angel Ballesteros and Francisco J. Herranz},
journal= {arXiv preprint arXiv:q-alg/9602029},
year = {2009}
}
Comments
19 pages, LaTeX; revised version to appear in J. Phys. A; quantization of bialgebras is completed