Existence of complex structures on decomposable Lie algebras

We provide the classification of the six-dimensional decomposable Lie algebras, with the dimension of the biggest indecomposable summand less than five, admitting complex structures. 2010 Mathematics Subject Classification. 17B40, 53C15, 53C30.

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Bibliographic Details
Published inUniversitatis Iagellonicae acta mathematica Vol. 57; p. 25
Main Author Sroka, Marcin
Format Journal Article
LanguageEnglish
Published Kraków Jagiellonian University-Jagiellonian University Press 01.01.2020
Subjects
Classification
Decomposition
Lie groups
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Summary:We provide the classification of the six-dimensional decomposable Lie algebras, with the dimension of the biggest indecomposable summand less than five, admitting complex structures. 2010 Mathematics Subject Classification. 17B40, 53C15, 53C30.
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ISSN:0860-0120
2084-3828
DOI:10.4467/20843828AM.20.002.13312