An analytical characterization of effective and of irreducible groups inducing cone orderings (Q1375520)

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scientific article; zbMATH DE number 1100765
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An analytical characterization of effective and of irreducible groups inducing cone orderings
scientific article; zbMATH DE number 1100765

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    An analytical characterization of effective and of irreducible groups inducing cone orderings (English)
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    28 October 1998
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    Group majorization for a closed subgroup \(G\) of an orthogonal group is a relation on vectors that \(y\) lies in the convex hull of the orbit of \(x\); permutation groups gives classical majorization. For group majorizations which may be represented as preorderings, the properties of effectiveness and irreducibility are characterized here.
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    group majorization
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    cone ordering
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    irreducible groups
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    orthogonal group
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