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

Angel Ballesteros·Enrico Celeghini·Francisco J. Herranz
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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.

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Angel Ballesteros, Enrico Celeghini, Francisco J. Herranz. 2000-05-25. Quantum (1+1) extended Galilei algebras: from Lie bialgebras to quantum R-matrices and integrable systems. https://doi.org/10.1088/0305-4470%2F33%2F17%2F303

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