Quantum affine algebras (Q1180519)
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scientific article; zbMATH DE number 25962
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantum affine algebras |
scientific article; zbMATH DE number 25962 |
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Quantum affine algebras (English)
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27 June 1992
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The authors classify the finite-dimensional irreducible representations of the quantum affine algebra \(U_ q(\hat sl_ 2)\) in terms of highest weights. They also give an explicit construction of all such representations by means of an evaluation homomorphism \(U_ q(\hat sl_ 2)\to U_ q(sl_ 2)\). This is used to compute the trigonometric \(R\)- matrices associated to finite-dimensional representations of \(U_ q(\hat sl_ 2)\).
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irreducible representations
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quantum affine algebra
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highest weights
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trigonometric \(R\)-matrices
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