Representations of quantum affine algebras in their \(R\)-matrix realization (Q2024534)
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| Language | Label | Description | Also known as |
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| English | Representations of quantum affine algebras in their \(R\)-matrix realization |
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Representations of quantum affine algebras in their \(R\)-matrix realization (English)
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4 May 2021
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In this paper the authors study finite-dimensional irreducible representations, in the R-matrix realization, of the quantum affine algebras in types B, C and D using the isomorphisms between the R-matrix and Drinfeld presentations. In the case of Yangians of types B, C and D, the authors use the Gauss decomposition to establish an equivalence of the descriptions of the representations in the R-matrix and Drinfeld presentations.
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\(R\)-matrix presentation
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Drinfeld polynomials
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highest weight representation
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Gauss decomposition
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