A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation (Q1072627)
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scientific article; zbMATH DE number 3941753
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation |
scientific article; zbMATH DE number 3941753 |
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A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation (English)
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1985
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The author introduces a q-difference analogue of the universal enveloping algebra of a simple Lie algebra. Its representations are studied for the case of sl(2,\({\mathbb{C}})\) and then the theory is applied to determine the trigonometric solutions of the Yang-Baxter equation related to sl(2,\({\mathbb{C}})\) in an arbitrary finite-dimensional irreducible representation.
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q-difference analogue
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universal enveloping algebra
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simple Lie algebra
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representations
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trigonometric solutions
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Yang-Baxter equation
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0.9395777
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0.9031641
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0.8999904
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0.89881235
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0.8935015
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0.8919146
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0.8912584
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