44 citations · 60 across the 4 of their papers we have counts for
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On the duality between the hyperbolic Sutherland and the rational Ruijsenaars-Schneider models
L. Feher, C. Klimcik
We consider two families of commuting Hamiltonians on the cotangent bundle of the group GL(n,C), and show that upon an appropriate single symplectic reduction they descend to the s…
Poisson-Lie generalization of the Kazhdan-Kostant-Sternberg reduction
L. Feher, C. Klimcik
The trigonometric Ruijsenaars-Schneider model is derived by symplectic reduction of Poisson-Lie symmetric free motion on the group U(n). The commuting flows of the model are effort…
u-Deformed WZW Model and Its Gauging
Ctirad Klimcik
We review the description of a particular deformation of the WZW model. The resulting theory exhibits a Poisson-Lie symmetry with a non-Abelian cosymmetry group and can be vectoria…
q-deformation of
C. Klimcik
We construct the action of the quantum double of $\uq$ on the standard Podleś sphere and interpret it as the quantum projective formula generalizing to the q-deformed setting the a…