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ArticleOriginal scientific text

Title

Introduction to quantum Lie algebras

Authors 1

Affiliations

  1. Department of Physics, University of Bielefeld, Postfach 10 01 31, 33501 Bielefeld, Germany

Abstract

Quantum Lie algebras are generalizations of Lie algebras whose structure constants are power series in h. They are derived from the quantized enveloping algebras Uh(g). The quantum Lie bracket satisfies a generalization of antisymmetry. Representations of quantum Lie algebras are defined in terms of a generalized commutator. The recent general results about quantum Lie algebras are introduced with the help of the explicit example of (sl2)h.

Bibliography

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Banach Center Publications
1997/40/1
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Pages:
91-97
Main language of publication
English
Published
1997
Exact and natural sciences