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

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

1999-06-14

arxiv.org/abs/math/9906094v2

J.Phys. A 33:3431-3444, 2000

Mathematics

Quantum Algebra

16 pages, LaTeX. A detailed description of the construction of integrable systems is carried out

Scientific paper

10.1088/0305-4470/33/17/303

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.

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