On the Exterior Degree of a Finite-Dimensional Lie Algebra

On the Exterior Degree of a Finite-Dimensional Lie Algebra

In this paper, we define the exterior degree for a finite-dimensional Lie algebra over the field Fq and give upper and lower bounds. Also, we give some relations between this concept and commutativity degree, capability, and Schur multiplier.

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Veröffentlicht in:Journal of mathematics (Hidawi) 2024-05, Vol.2024, p.1-6
Hauptverfasser: Shamsaki, Afsaneh, Parvizi, Mohsen, Erfanian, Ahmad
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Commutativity
Lie groups
Lower bounds
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Beschreibung
Zusammenfassung:In this paper, we define the exterior degree for a finite-dimensional Lie algebra over the field Fq and give upper and lower bounds. Also, we give some relations between this concept and commutativity degree, capability, and Schur multiplier.
ISSN:2314-4629
2314-4785
DOI:10.1155/2024/5596170