A complete classification of four-dimensional para-Kähler Lie algebras (Q490702)
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scientific article; zbMATH DE number 6476703
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A complete classification of four-dimensional para-Kähler Lie algebras |
scientific article; zbMATH DE number 6476703 |
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A complete classification of four-dimensional para-Kähler Lie algebras (English)
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28 August 2015
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In this interesting paper the author considers para-Kähler Lie algebras, that is, even-dimensional Lie algebras equipped with a pair \((J,g)\), where \(J\) is a paracomplex structure and \(g\) a pseudo-Riemannian metric, such that the fundamental 2-form \(\Omega (X,Y)=g(X,JY)\) is symplectic. A complete classification is obtained in dimension four.
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Lie algebras
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para-Kähler structures
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pseudo-Riemannian homogeneous spaces
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