Biderivations, local and 2-local derivation and automorphism of simple $\omega$-Lie algebras

Hassan Oubba

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arXiv · 2505.00436

Biderivations, local and 2-local derivation and automorphism of simple $\omega$-Lie algebras

Hassan Oubba

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Abstract

Given a finite-dimensional complex simple $\omega$-Lie algebras $\mathfrak{}$ over $\mathbb{C}$. We prove that every local ,$2-$local derivation is a derivation and every local (resp. 2-local) automorphisms are automorphisms or an anti-automorphis (resp. automorphism). We characterize also biderivation, $\frac{1}{2}$-derivation and local (2-local) $\frac{1}{2}$-derivation of $\mathfrak{g}$.

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Hassan Oubba. 2025-05-01. Biderivations, local and 2-local derivation and automorphism of simple $\omega$-Lie algebras. https://arxiv.org/abs/2505.00436

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