Some aspects of Leibniz algebra theory

Some aspects of Leibniz algebra theory

One of the key tendencies in the development of Leibniz algebra theory is the search for analogues of the basic results of Lie algebra theory. In this survey, we consider the reverse situation. Here the main attention is paid to the results reflecting the difference of the Leibniz algebras from the...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Datum:2017
Hauptverfasser: Kirichenko, Vladimir V., Kurdachenko, Leonid A., Pypka, Aleksandr A., Subbotin, Igor Ya.
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2017
Schlagworte:
Leibniz algebra
cyclic Leibniz algebra
left (right) center
lower (upper) central series
finite dimensional Leibniz algebra
nilpotent Leibniz algebra
extraspecial Leibniz algebra
bilinear form
left (right) idealizer
Frattini subalgebra
17A32
17A60
Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/473
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics
Beschreibung
Zusammenfassung:One of the key tendencies in the development of Leibniz algebra theory is the search for analogues of the basic results of Lie algebra theory. In this survey, we consider the reverse situation. Here the main attention is paid to the results reflecting the difference of the Leibniz algebras from the Lie algebras.

Ähnliche Einträge