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## Introduction to quantum Lie algebras

### Volume 40 / 1997

Banach Center Publications 40 (1997), 91-97 DOI: 10.4064/-40-1-91-97

#### 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 $U_h(g)$. 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 $(sl_2)_h$.

#### Authors

• Gustav Delius

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