Equivariant de Rham cohomology of homogeneous spaces (Q1910757)
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scientific article; zbMATH DE number 858641
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivariant de Rham cohomology of homogeneous spaces |
scientific article; zbMATH DE number 858641 |
Statements
Equivariant de Rham cohomology of homogeneous spaces (English)
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19 May 1996
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Let \(G\) be a compact connected Lie group and \(K\) be a closed connected subgroup. The main result of the paper is a sufficient condition for the corresponding Borel fibration: \(G/K \to EK \times_KG/K \to BK\) to be totally noncohomologous to zero. The theorem is then applied to the example \(G = SU(n)\), \(K = S^1\).
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De Rham cohomology
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compact homogeneous space
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Lie group
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Borel fibration
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