Maximal isotropy groups of Lie groups related to nilradicals of parabolic subalgebras (Q1572909)
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scientific article; zbMATH DE number 1484772
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal isotropy groups of Lie groups related to nilradicals of parabolic subalgebras |
scientific article; zbMATH DE number 1484772 |
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Maximal isotropy groups of Lie groups related to nilradicals of parabolic subalgebras (English)
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10 July 2003
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Let \(N\) be a connected and simply connected Lie group whose Lie algebra is the nilradical of a parabolic subalgebra of a semisimple complex Lie algebra. Let \(g\) be a left-invariant metric on \(N\) and \(K\) the isotropy group at the identity of \(N.\) The author determines the isotropy groups of \(N\) that are endowed with a Hermitian metric that are of maximal dimension.
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simply connected Lie group
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nilradical
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semisimple complex Lie algebra
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isotropy groups
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Hermitian metric
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left-invariant metric
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