Groupes quantiques [d’après V. G. Drinfel’d]. (Quantum groups [following V. G. Drinfel’d]). (French) Zbl 0645.16006

Verdier, Jean-Louis

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

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