On the structure of the algebra of derivations of some low-dimensional Leibniz algebras
UDC 512.554 We start the description of the algebra of derivations of Leibniz algebras with  dimension $3.$  It is clear that the description of the algebra of derivations of all Leibniz algebras with dimension $3,$ is quite large.  Th...
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| Datum: | 2024 |
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| Hauptverfasser: | , , , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2024
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7573 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 512.554
We start the description of the algebra of derivations of Leibniz algebras with  dimension $3.$  It is clear that the description of the algebra of derivations of all Leibniz algebras with dimension $3,$ is quite large.  Therefore,  we  focus on the description of  nilpotent Leibniz algebras whose nilpotency class is equal to $3$ and nilpotent Leibniz algebras whose center has dimension $2.$ |
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| DOI: | 10.3842/umzh.v76i5.7573 |