The structure of the space of affine Kähler curvature tensors as a complex module (Q2891201)
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scientific article; zbMATH DE number 6046014
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The structure of the space of affine Kähler curvature tensors as a complex module |
scientific article; zbMATH DE number 6046014 |
Statements
13 June 2012
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affine curvature tensor
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affine Kähler curvature tensor
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Kähler curvature tensor
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module over the unitary group
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module over the general linear group
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Matzeu-Nikcevic decomposition
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The structure of the space of affine Kähler curvature tensors as a complex module (English)
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The paper is devoted to the decomposition of the space of affine Kähler curvature tensors as a sum of irreducible modules. It is proved that in dimension \(m\geq 8\), such decomposition has the form of a direct sum of six irreducible modules in the complex setting. Corresponding decompositions into fewer modules are given in dimension \(m=4\) and \(m=6\).
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