Quantum groups

descriptionPublicationkeyboard_double_arrow_right Article , Part of book or chapter of book 01 Apr 1988 English Publisher:Springer Science and Business Media LLCJournal:Journal of Soviet Mathematics, volume 41, pages 898-915 (issn: 0090-4104, eissn: 1573-8795,

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Authors: Drinfel'd, V. G.;

doi: 10.1007/bf01247086 , 10.1142/9789812798336_0014

Quantum groups

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Abstract

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.

Related Organizations

Ural Branch of the Russian Academy of Sciences
Russian Federation
Physico-Technical Institute
Russian Federation

Keywords

Hopf algebras, Quantum field theory; related classical field theories, Applications of Lie groups to the sciences; explicit representations, Lie algebras and Lie superalgebras, quantum inverse scattering method, quantum Yang-Baxter identity, Universal enveloping (super)algebras, quantum inverse scattering, Hopf algebras (associative rings and algebras)

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