Document Zbl 0617.16004

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Quantum groups. (Russian. English summary) Zbl 0617.16004

Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 155, 18-49 (1986).

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

Cited in 3 Reviews

Cited in 74 Documents

MSC:

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

Keywords:

Hopf algebras; quantum inverse scattering method; quantum Yang-Baxter identity

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