Classification of skew multiplicity-free modules. (Q430770)
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scientific article; zbMATH DE number 6050318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of skew multiplicity-free modules. |
scientific article; zbMATH DE number 6050318 |
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Classification of skew multiplicity-free modules. (English)
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26 June 2012
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Let \(G\) be a reductive group defined over \(\mathbb C\) with a finite dimensional representation \(V\). The action of \(G\) is said to be skew multiplicity-free (SMF) if the exterior algebra \(\bigwedge V\) contains no irreducible representation of \(G\) with multiplicity \(>1\). This paper is concerned with a classification of such representations.
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reductive groups
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finite-dimensional representations
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skew multiplicity-free representations
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exterior algebras
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