Our research is aimed to study different algebraic and geometric techniques based on Lie groups, quantum groups and their representation theory, and to develop their applications in:
- Poisson-Lie groups and Poisson geometry.
- Classical and quantum (super)integrable Hamiltonian systems.
- Lie-Hamilton systems.
- Nonlinear dynamical systems.
- Shape dynamics.
- Relativistic and non-relativistic spacetime geometries.
- Quantum deformations of spacetime symmetries.
- Noncommutative spacetimes and quantum geometry.
- Quantum gravity phenomenology.
- Classical and quantum field theory.
- Quantum reference frames.
- Quantum information theory.
- Quantum computation and quantum communications.
Última actualización: 30 de Enero de 2025