Quantum (1+1) extended Galilei algebras: from Lie bialgebras to quantum R-matrices and integrable systems
arXiv:math/9906094 · doi:10.1088/0305-4470/33/17/303
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.
16 pages, LaTeX. A detailed description of the construction of integrable systems is carried out