\(L^{2}\)-singular dichotomy for orbital measures of classical simple Lie algebras (Q1014229)
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scientific article; zbMATH DE number 5547463
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^{2}\)-singular dichotomy for orbital measures of classical simple Lie algebras |
scientific article; zbMATH DE number 5547463 |
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\(L^{2}\)-singular dichotomy for orbital measures of classical simple Lie algebras (English)
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27 April 2009
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It is proven that the \(G\)-invariant orbital measures supported on adjoint orbits in the Lie algebra of a classical, compact, connected, simple Lie group satisfy a smoothness dichotomy.
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Lie algebras
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orbital measures
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\(L^2\)-singular dichotomy
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