A finiteness theorem of harmonic maps from compact Lie groups to \(O_{HS}(H)\). Harmonic maps between groups (Q1360925)
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scientific article; zbMATH DE number 1038294
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A finiteness theorem of harmonic maps from compact Lie groups to \(O_{HS}(H)\). Harmonic maps between groups |
scientific article; zbMATH DE number 1038294 |
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A finiteness theorem of harmonic maps from compact Lie groups to \(O_{HS}(H)\). Harmonic maps between groups (English)
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2 September 1997
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The main result of the paper asserts that a harmonic map from a compact Lie group with biinvariant metric into the Hilbert orthogonal group has image contained in a finite dimensional subgroup \(O(n)\), \(n<\infty\). As a byproduct, an extension of the Peter-Weyl theorem is obtained.
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harmonic maps
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Hilbert orthogonal group
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Peter-Weyl theorem
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