Classification of Nilpotent Malcev Algebras of Small Dimensions Over Arbitrary Fields of Characteristic not 2

Classification of Nilpotent Malcev Algebras of Small Dimensions Over Arbitrary Fields of Characteristic not 2

The paper is devoted to classify all of the nilpotent Malcev algebras of dimension ≤ 6 over an arbitrary base field F of characteristic not 2. We also classify all 7-dimensional non-Lie nilpotent Malcev algebras which are not metabelian over any field of characteristic not 2.

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Veröffentlicht in:Algebras and representation theory 2018-02, Vol.21 (1), p.19-45
Hauptverfasser: Hegazi, A. S., Abdelwahab, Hani, Calderon Martin, A. J.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Associative Rings and Algebras
Classification
Commutative Rings and Algebras
Mathematics
Mathematics and Statistics
Non-associative Rings and Algebras
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Zusammenfassung:The paper is devoted to classify all of the nilpotent Malcev algebras of dimension ≤ 6 over an arbitrary base field F of characteristic not 2. We also classify all 7-dimensional non-Lie nilpotent Malcev algebras which are not metabelian over any field of characteristic not 2.
ISSN:1386-923X
1572-9079
DOI:10.1007/s10468-017-9701-4