An explicit formula for the cup-length of the rotation group (Q1676398)
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scientific article; zbMATH DE number 6803433
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An explicit formula for the cup-length of the rotation group |
scientific article; zbMATH DE number 6803433 |
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An explicit formula for the cup-length of the rotation group (English)
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7 November 2017
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Let SO\(_n\) denote the rotation group, i.e. the group of orthogonal \(n\times n\)-matrices of determinant 1. The modulo 2 cohomology algebra is described by [\textit{A. Borel}, C. R. Acad. Sci., Paris 232, 1628--1630, 2392--2394 (1951; Zbl 0045.44301)]. The main result of the reviewed paper is a nice explicit formula for the modulo 2 cup-length for SO\(_n\).
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cup-length
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Lusternik-Schnirelmann category
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rotation group (special orthogonal group)
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