Jurčo, B.; Šťovíček, P. Dressing transformation on quantum compact groups. (English) Zbl 0823.17024 Bureš, J. (ed.) et al., The proceedings of the Winter school Geometry and topology, Srní, Czechoslovakia, January 1992. Palermo: Circolo Matemático di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 32, 39-48 (1994). For the simple complex quantum groups the structure of the dual quantum double (Drinfeld, 1986; Podles, Woronowicz, 1990) is studied. A coordinate independent form of the multiplication law in the dual quantum double is presented and used to find a simple formula for the dual quantum dressing transformations (Reshetikhin, Semenov-Tian-Shansky, 1988) and its restriction to dressing orbits.For the entire collection see [Zbl 0794.00022]. Reviewer: A.A.Bogush (Minsk) MSC: 17B37 Quantum groups (quantized enveloping algebras) and related deformations 46L85 Noncommutative topology 46L87 Noncommutative differential geometry 81R50 Quantum groups and related algebraic methods applied to problems in quantum theory Keywords:quantum groups; dual quantum double; quantum dressing transformations PDFBibTeX XMLCite \textit{B. Jurčo} and \textit{P. Šťovíček}, in: The proceedings of the winter school geometry and topology, Srní, Czechoslovakia, January 1992. Palermo: Circolo Matemático di Palermo. 39--48 (1994; Zbl 0823.17024)