# Introduction to quantum Lie algebras

Banach Center Publications (1997)

- Volume: 40, Issue: 1, page 91-97
- ISSN: 0137-6934

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topDelius, Gustav. "Introduction to quantum Lie algebras." Banach Center Publications 40.1 (1997): 91-97. <http://eudml.org/doc/252214>.

@article{Delius1997,

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 $(sl_2)_h$.},

author = {Delius, Gustav},

journal = {Banach Center Publications},

keywords = {quantum Lie algebras; quantized enveloping algebras; quantum Lie bracket},

language = {eng},

number = {1},

pages = {91-97},

title = {Introduction to quantum Lie algebras},

url = {http://eudml.org/doc/252214},

volume = {40},

year = {1997},

}

TY - JOUR

AU - Delius, Gustav

TI - Introduction to quantum Lie algebras

JO - Banach Center Publications

PY - 1997

VL - 40

IS - 1

SP - 91

EP - 97

AB - 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 $(sl_2)_h$.

LA - eng

KW - quantum Lie algebras; quantized enveloping algebras; quantum Lie bracket

UR - http://eudml.org/doc/252214

ER -

## References

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- [7] Andrew V. Chari, A. Pressley, A Guide to Quantum Groups, Cambridge University Press (1994). Zbl0839.17009
- [8] G.W. Delius, M.D. Gould, A. Hüffmann, Y.-Z. Zhang, Quantum Lie algebras associated to ${U}_{q}\left(g{l}_{n}\right)$ and ${U}_{q}\left(s{l}_{n}\right)$, q-alg/9508013. Zbl0905.17008
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- [10] World Wide Web, http:/www.mth.kcl.ac.uk/~delius/q-lie.html.

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