dorsal/arxiv
View SchemaThe Problem of Differential Calculus on Quantum Groups
| Authors | Gustav W. Delius |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9608010 |
| URL | https://arxiv.org/abs/q-alg/9608010 |
| DOI | 10.1007/BF01690336 |
| Journal | Czechoslovak Journal of Physics, Vol.46 (1996) 1217-1225. |
Abstract
The bicovariant differential calculi on quantum groups of Woronowicz have the drawback that their dimensions do not agree with that of the corresponding classical calculus. In this paper we discuss the first-order differential calculus which arises from a simple quantum Lie algebra. This calculus has the correct dimension and is shown to be bicovariant and complete. But it does not satisfy the Leibniz rule. For sl_n this approach leads to a differential calculus which satisfies a simple generalization of the Leibniz rule.
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"abstract": "The bicovariant differential calculi on quantum groups of Woronowicz have the\ndrawback that their dimensions do not agree with that of the corresponding\nclassical calculus. In this paper we discuss the first-order differential\ncalculus which arises from a simple quantum Lie algebra. This calculus has the\ncorrect dimension and is shown to be bicovariant and complete. But it does not\nsatisfy the Leibniz rule. For sl_n this approach leads to a differential\ncalculus which satisfies a simple generalization of the Leibniz rule.",
"arxiv_id": "q-alg/9608010",
"authors": [
"Gustav W. Delius"
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"doi": "10.1007/BF01690336",
"journal_ref": "Czechoslovak Journal of Physics, Vol.46 (1996) 1217-1225.",
"title": "The Problem of Differential Calculus on Quantum Groups",
"url": "https://arxiv.org/abs/q-alg/9608010"
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