Quantization of Lie Groups and Lie Algebras

N. Y. Reshetikhin; L. A. Takhtadzhyan; L. D. Faddeev

doi:10.1142/9789814340960_0034

Quantization of Lie Groups and Lie Algebras

N. Y. Reshetikhin
, L. A. Takhtadzhyan
, L. D. Faddeev

Mathematics

Steklov Mathematical Institute

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

A systematic definition and description of the basic properties of quantum simple Lie groups, quantum vector spaces, and quantum simple Lie algebras is given. A connection between these and the constructions of quantum deformations of the universal enveloping algebras of simple Lie algebras and the quantum double of Hopf algebras is established.

Original language	English
Title of host publication	Fifty Years of Mathematical Physics
Subtitle of host publication	Selected Works of Ludwig Faddeev
Publisher	World Scientific Publishing Co.
Pages	469-501
Number of pages	33
ISBN (Electronic)	9789814340960
ISBN (Print)	9789814340953
DOIs	https://doi.org/10.1142/9789814340960_0034
State	Published - Jan 1 2016

Keywords

Hopf algebra
Quantum matrix algebra
Quantum simple Lie algebra
Quantum simple Lie group
Quantum vector space

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10.1142/9789814340960_0034

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KW - Quantum simple Lie group

KW - Quantum vector space

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Quantization of Lie Groups and Lie Algebras

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Keywords

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