Rational \(\text{SO}(3)\)-equivariant cohomology theories (Q2752871)
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scientific article; zbMATH DE number 1665605
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rational \(\text{SO}(3)\)-equivariant cohomology theories |
scientific article; zbMATH DE number 1665605 |
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21 October 2002
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category of rational \(SO(3)\) spectra
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Rational \(\text{SO}(3)\)-equivariant cohomology theories (English)
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The paper gives a complete classification of rational \(SO(3)\)-equivariant cohomology theories. This is done by presenting an algebraic model for \(SO(3)\)-equivariant rational cohomology theories. More precisely, some of the author's earlier results are used to give an explicit algebraic model of the category of rational \(SO(3)\)-spectra. The results include an algebraic model for \(SO(2)\)-equivariant theories and an analysis of \(O(2)\)-equivariant cohomology theories together with special cases of results on rational Mackey functors.NEWLINENEWLINEFor the entire collection see [Zbl 0964.00013].
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