Classifying quadratic maps from plane to plane (Q1870060)
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scientific article; zbMATH DE number 1903574
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classifying quadratic maps from plane to plane |
scientific article; zbMATH DE number 1903574 |
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Classifying quadratic maps from plane to plane (English)
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4 May 2003
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Let \(V\) be a 2-dimensional vector space over an algebraically closed field \({\mathbf F}\) of characteristic \(\neq 2,3\). The elements in \(S^2V^* \otimes V\) under the natural action of \(GL(2,{\mathbf F})\) are classified generically. A basis of invariants is also explicitly given.
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bilinear symmetric map
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finite group
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linear representation
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pseudoreflection
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invariants
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