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On universal central extensions of Hom-Lie algebras
2015
Journal:  
Hacettepe Journal of Mathematics and Statistics
Author:  
Abstract:

We develop a theory of universal central extensions of Hom-Lie algebras. Classical results of universal central extensions of Lie algebras cannot be completely extended to Hom-Lie algebras setting, because of the composition of two central extensions is not central. This fact leads to introduce the notion of universal α-central extension. Classical results as the existence of a universal central extension of a perfect Hom-Lie algebra remains true, but others as the central extensions of the middle term of a universal central extension is split only holds for α-central extensions. A homological characterization of universal (α)- central extensions is given. 

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Hacettepe Journal of Mathematics and Statistics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 1.771
Cite : 682
2023 Impact : 0.004
Details
Hacettepe Journal of Mathematics and Statistics