Quantum (1+1) extended Galilei algebras: from Lie bialgebras to quantum R-matrices and integrable systems
Quantum Algebra
2011-09-01 v2
Abstract
The Lie bialgebras of the (1+1) extended Galilei algebra are obtained and classified into four multiparametric families. Their quantum deformations are obtained, together with the corresponding deformed Casimir operators. For the coboundary cases quantum universal R-matrices are also given. Applications of the quantum extended Galilei algebras to classical integrable systems are explicitly developed.
Keywords
Cite
@article{arxiv.math/9906094,
title = {Quantum (1+1) extended Galilei algebras: from Lie bialgebras to quantum R-matrices and integrable systems},
author = {Angel Ballesteros and Enrico Celeghini and Francisco J. Herranz},
journal= {arXiv preprint arXiv:math/9906094},
year = {2011}
}
Comments
16 pages, LaTeX. A detailed description of the construction of integrable systems is carried out