L. Hlavaty: Scientific activities
Classical integrable models -
Backlund transformations,
Symmetries of nonlinear differential equations,
Painleve analysis,
Principal chiral models.
Quantum integrable models -
Solutions of Yang-Baxter equations,
Spin chains,
Nonultralocal
models.
Quantum groups, braided groups -
Quantum spaces
Differential calculus on the quantum spaces
Quantized braided groups
Dualities in sigma models and strings -
Classifications of Manin triples and Drinfeld doubles
Poisson-Lie T-pluralities of sigma models
Conformal invariance of sigma models and vanishing beta equations
Exact solutions of sigma models in the curved background
Transformation of the boundary conditions under the Poisson-Lie T-pluralities