Indecomposable representations of \(M(2,\mathbb{F}_ q)\) over \(\mathbb{F}_ q\) (Q1210079)
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scientific article; zbMATH DE number 169083
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Indecomposable representations of \(M(2,\mathbb{F}_ q)\) over \(\mathbb{F}_ q\) |
scientific article; zbMATH DE number 169083 |
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Indecomposable representations of \(M(2,\mathbb{F}_ q)\) over \(\mathbb{F}_ q\) (English)
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16 May 1993
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Assume \(F\) is a finite field and \(M\) the multiplicative monoid of the \(2 \times 2\) matrices over \(F\). The author gives a construction of a complete set of injective absolutely indecomposable modules of \(M\). It turns out that these modules are summands of the tensor product of the symmetric powers of the standard two dimensional representation of \(M\).
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matrices over finite fields
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standard representation
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monoids of \(2 \times 2\) matrices
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injective absolutely indecomposable modules
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tensor products
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symmetric powers
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