Verdier, Jean-Louis Groupes quantiques [d’après V. G. Drinfel’d]. (Quantum groups [following V. G. Drinfel’d]). (French) Zbl 0645.16006 Sémin. Bourbaki, 39ème année, Vol. 1986/87, Exp. 685, Astérisque 152/153, 305-319 (1987). [For the entire collection see Zbl 0627.00006.] The main part of the paper is the exposition of the talk of V. G. Drinfel’d at the International Congress of Mathematicians in 1986. It consists of the description of results about quantum groups themselves and about their relations to quantum Yang-Baxter equations and to the quantum inverse scattering method. Reviewer: S.I.Gel’fand Cited in 1 Document MSC: 16W30 Hopf algebras (associative rings and algebras) (MSC2000) 22E70 Applications of Lie groups to the sciences; explicit representations 17B99 Lie algebras and Lie superalgebras 81T99 Quantum field theory; related classical field theories 17B35 Universal enveloping (super)algebras 58Z05 Applications of global analysis to the sciences Keywords:quantum groups; quantum Yang-Baxter equations; quantum inverse scattering method Citations:Zbl 0627.00006 PDF BibTeX XML Full Text: Numdam EuDML OpenURL