Irreducible representations of quantum group \(V_q(\text{sl}(2))\) (Q2744550)
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scientific article; zbMATH DE number 1649195
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Irreducible representations of quantum group \(V_q(\text{sl}(2))\) |
scientific article; zbMATH DE number 1649195 |
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1 April 2002
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quantum group
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PBW basis
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irreducible representation
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Irreducible representations of quantum group \(V_q(\text{sl}(2))\) (English)
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The authors introduce a quantum group \(V_q(\text{sl}(2))\) with six generators and prove that \(V_q(\text{sl}(2))\) with a homomorphic image isomorphic to \(U_q(\text{sl}(2))\) has a PBW type basis and no zero divisors. The authors also determine all finite-dimensional irreducible representations of \(V_q(\text{sl}(2))\) when \(q\) is not a root of unity.
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