Proposed Method for Expressing Inner Derivations of Leibniz Algebras

Nadia Faiq Mohammed

doi:10.35877/454RI.asci4626

Authors

Nadia Faiq Mohammed Department of Mathematics, College of Education for Pure Sciences (Ibn-Al-Haithem), University of Baghdad

DOI:

https://doi.org/10.35877/454RI.asci4626

Keywords:

Inner derivation, Leibniz algebra, and nilpotence

Abstract

This work is concerned with the computational perspective of a specific case of derivations, known as inner derivation mapping. In this regard, we propose an algebraic method to provide inner derivations for a finite-dimensional Leibniz algebra in matrix representation. The method is applied on four-dimensional complex Leibniz algebras obtained earlier to present comprehensive descriptions of their inner derivations. Additionally, we also exhibit the span basis of outer derivatives for these algebras.

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References

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