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


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


Zbl 0627.00006
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