DRESSING TRASFORMATION ON THREE-DIMENSIONAL POISSON-LIE GROUPS
BOUSSELHAM GANBOURI *
Department of Mathematics, Faculty of Science, Ibn Tofail University, Kenitra, Morocco
SIMOHAMED SBAI
Department of Mathematics, Faculty of Science, Ibn Tofail University, Kenitra, Morocco
*Author to whom correspondence should be addressed.
Abstract
We study the dressing transformation on three-dimensional Poisson-Lie groups. We give an algebra 1-cocycle associated to this action and an particular Poisson automorphism.
Keywords: Poisson-Lie structure, lie bialgebra, dressing transformation, poisson automorphism, hamiltonian