Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits
Quantum Algebra
2009-10-31 v2 High Energy Physics - Theory
Abstract
Multiparametric quantum deformations of are studied through a complete classification of Lie bialgebra structures. From them, the non-relativistic limit leading to harmonic oscillator Lie bialgebras is implemented by means of a contraction procedure. New quantum deformations of together with their associated quantum -matrices are obtained and other known quantizations are recovered and classified. Several connections with integrable models are outlined.
Keywords
Cite
@article{arxiv.math/9806149,
title = {Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits},
author = {Angel Ballesteros and Francisco J. Herranz and Preeti Parashar},
journal= {arXiv preprint arXiv:math/9806149},
year = {2009}
}
Comments
21 pages, LaTeX. To appear in J. Phys. A. New contents added