Quantum (1+1) extended Galilei algebras: from Lie bialgebras to quantum R-matrices and integrable systems

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

References in corpus (2)

• Integrable deformations of oscillator chains from quantum algebras
• Two-Dimensional Centrally Extended Quantum Galilei Groups and their Algebras

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