Quantum groups. (Russian. English summary) Zbl 0617.16004

This is an extended version of the talk at International Mathematical Congress, 1986. It surveys Hopf algebras as an algebraic foundation of a quantum inverse scattering method. Numerous examples of Hopf algebras are given, and their connection with the quantum Yang-Baxter identity is explained.
Reviewer: L.Vaserstein


16W30 Hopf algebras (associative rings and algebras) (MSC2000)
17B99 Lie algebras and Lie superalgebras
22E70 Applications of Lie groups to the sciences; explicit representations
17B35 Universal enveloping (super)algebras
81T99 Quantum field theory; related classical field theories
Full Text: EuDML