Polar representations of compact groups and convex hulls of their orbits Full article
| Journal |
Differential Geometry and its Application
ISSN: 0926-2245 , E-ISSN: 1872-6984 |
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| Output data | Year: 2010, Volume: 28, Number: 5, Pages: 608-614 Pages count : 7 DOI: 10.1016/j.difgeo.2010.05.005 | ||
| Tags | Polar representationsSemigroups of setsCoxeter groups | ||
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Abstract:
The paper contains a characterization of compact groups G subset of GL(0), where o is a finite-dimensional real vector space, which have the following property SP: the family of convex hulls of G-orbits is a semigroup with respect to the Minkowski addition. If G is finite, then SP holds if and only if G is a Coxeter group; if G is connected then SP is equivalent to the property to be polar. In general, G satisfies SP if and only if it is polar and its Weyl group is a Coxeter group.
Cite:
Gichev V.M.
Polar representations of compact groups and convex hulls of their orbits
Differential Geometry and its Application. 2010. V.28. N5. P.608-614. DOI: 10.1016/j.difgeo.2010.05.005 WOS Scopus РИНЦ OpenAlex
Polar representations of compact groups and convex hulls of their orbits
Differential Geometry and its Application. 2010. V.28. N5. P.608-614. DOI: 10.1016/j.difgeo.2010.05.005 WOS Scopus РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000281029000009 |
| Scopus: | 2-s2.0-77954539497 |
| Elibrary: | 15318131 |
| OpenAlex: | W2026522612 |