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arXiv · 2501.10887

Computational Methods for Biderivations of 4-dimensional nilpotent complex leibniz algebras

Ahmed Zahari Abdou·Bouzid Mosbahi
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Abstract

This paper focuses on the biderivations of 4-dimensional nilpotent complex Leibniz algebras. Using the existing classification of these algebras, we develop algorithms to compute derivations, antiderivations, and biderivations as pairs of matrices with respect to a fixed basis. By utilizing computer algebra software such as Mathematica and Maple, we provide detailed descriptions and examples to illustrate these computations.

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Ahmed Zahari Abdou, Bouzid Mosbahi. 2025-01-18. Computational Methods for Biderivations of 4-dimensional nilpotent complex leibniz algebras. https://arxiv.org/abs/2501.10887

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