A remark on polar representations of compact Lie groups (Q2760847)
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scientific article; zbMATH DE number 1682348
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on polar representations of compact Lie groups |
scientific article; zbMATH DE number 1682348 |
Statements
13 December 2001
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representations of compact Lie groups
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convex sets
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0.9065664
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0.9040673
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A remark on polar representations of compact Lie groups (English)
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A finite dimensional representation of a compact Lie group is called polar if there exists a linear subspace meeting every orbit orthogonally. It is proved that the representation is polar if the family of the convex hulls of orbits is closed under Minkowski addition. The converse statement is announced.
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