A \({\mathcal U}_ q(\mathfrak{sl}(2))\)-representation with no quantum symmetric algebra. (Q1848110)
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scientific article; zbMATH DE number 1822098
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A \({\mathcal U}_ q(\mathfrak{sl}(2))\)-representation with no quantum symmetric algebra. |
scientific article; zbMATH DE number 1822098 |
Statements
A \({\mathcal U}_ q(\mathfrak{sl}(2))\)-representation with no quantum symmetric algebra. (English)
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31 October 2002
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A quantum analogue of the symmetric algebra of a Lie algebra representation is studied. This is not possible, however, in the special case of the 4-dimensional irreducible representation of \({\mathcal U}_q(sl(2))\), as is shown by explicit calculations.
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