dorsal/arxiv
View SchemaIntroduction to Quantum Lie Algebras
| Authors | Gustav W. Delius |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9605026 |
| URL | https://arxiv.org/abs/q-alg/9605026 |
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 $\uqg$. The quantum Lie bracket satisfies a generalization of antisymmetry. Representations of quantum Lie algebras are defined in terms of a generalized commutator. In this paper the recent general results about quantum Lie algebras are introduced with the help of the explicit example of $(sl_2)_h$.
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"abstract": "Quantum Lie algebras are generalizations of Lie algebras whose structure\nconstants are power series in $h$. They are derived from the quantized\nenveloping algebras $\\uqg$. The quantum Lie bracket satisfies a generalization\nof antisymmetry. Representations of quantum Lie algebras are defined in terms\nof a generalized commutator.\n In this paper the recent general results about quantum Lie algebras are\nintroduced with the help of the explicit example of $(sl_2)_h$.",
"arxiv_id": "q-alg/9605026",
"authors": [
"Gustav W. Delius"
],
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"title": "Introduction to Quantum Lie Algebras",
"url": "https://arxiv.org/abs/q-alg/9605026"
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