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Our research is aimed to apply different algebraic and geometric structures for the study of classical and quantum Hamiltonian systems, with special emphasis on their symmetry and integrability properties.
In particular, we make use of tools such as Lie algebras and groups, representation theory, homogeneous spaces, spacetime symmetries, Hopf algebras, quantum groups, Lie bialgebras, Poisson-Lie groups, Poisson algebras, integrability theory, quantization techniques and noncommutative geometry.
Highlights
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