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Constructing indecomposable representations over quantum group \({\mathcal U}_q(\text{sl}(2))\). - MaRDI portal

Constructing indecomposable representations over quantum group \({\mathcal U}_q(\text{sl}(2))\). (Q1413629)

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scientific article; zbMATH DE number 2004957
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English
Constructing indecomposable representations over quantum group \({\mathcal U}_q(\text{sl}(2))\).
scientific article; zbMATH DE number 2004957

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    Constructing indecomposable representations over quantum group \({\mathcal U}_q(\text{sl}(2))\). (English)
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    17 November 2003
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    The author studies infinite dimensional representations over the quantum group \(\mathcal U_q(\text{sl}(2))\) when the parameter \(q\) is not a root of unity. The main result is the construction of a simple representation, whose annihilator is a given maximal primitive ideal of infinite codimension.
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    indecomposable representations
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    quantum groups
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    Harish-Chandra modules
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    weight modules
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