On Macaulay duals of Hilbert ideals (Q886230)
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scientific article; zbMATH DE number 5167556
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Macaulay duals of Hilbert ideals |
scientific article; zbMATH DE number 5167556 |
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On Macaulay duals of Hilbert ideals (English)
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26 June 2007
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Let \(G\) be a finite group with a representation in an \(\mathbb F\) space \(V\). In a short but dense paper, the author presents some computational tools for the determination of the Macaulay inverse of the Hilbert ideal of \(G\); that is, the irreducible ideal of \(\mathbb F[V]_G\) generated by the invariant homogeneous forms of positive degree.
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group representation
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Poincaré duality
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Hilbert ideal
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Macaulay inverse
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