caa a22 4500 469099747 CHVBK 20180323133041.0 cr unu---uuuuu 170328e19920501xx s 000 0 eng 10.1007/BF00402377 doi (NATIONALLICENCE)springer-10.1007/BF00402377 A natural and rigid model of quantum groups [Elektronische Daten] [Philippe Bonneau, Moshé Flato, Georges Pinczon] We introduce a natural (Fréchet-Hopf) algebra A containing all generic Jimbo algebras U t (sl(2)) (as dense subalgebras). The Hopf structures on A extend (in a continuous way) the Hopf structures of generic U t (sl(2)). The Universal R-matrices converge in A $$\hat \otimes $$ A. Using the (topological) dual of A, we recover the formalism of functions of noncommutative arguments. In addition, we show that all these Hopf structures on A are isomorphic (as bialgebras), and rigid in the category of bialgebras. Kluwer Academic Publishers, 1992 Bonneau Philippe Physique-Mathématique, Université de Bourgogne, BP 138, 21004, Dijon Cedex, France aut Flato Moshé Physique-Mathématique, Université de Bourgogne, BP 138, 21004, Dijon Cedex, France aut Pinczon Georges Physique-Mathématique, Université de Bourgogne, BP 138, 21004, Dijon Cedex, France aut Letters in Mathematical Physics Kluwer Academic Publishers 25/1(1992-05-01), 75-84 0377-9017 25:1<75 1992 25 11005 https://doi.org/10.1007/BF00402377 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00402377 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bonneau Philippe Physique-Mathématique, Université de Bourgogne, BP 138, 21004, Dijon Cedex, France aut NATIONALLICENCE 700 1- Flato Moshé Physique-Mathématique, Université de Bourgogne, BP 138, 21004, Dijon Cedex, France aut NATIONALLICENCE 700 1- Pinczon Georges Physique-Mathématique, Université de Bourgogne, BP 138, 21004, Dijon Cedex, France aut NATIONALLICENCE 773 0- Letters in Mathematical Physics Kluwer Academic Publishers 25/1(1992-05-01), 75-84 0377-9017 25:1<75 1992 25 11005 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer