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Biderivations, local and 2-local derivation and automorphism of simple ω-Lie algebras

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arxiv 2505.00436 v1 pith:WNVXWTDG submitted 2025-05-01 math.RA

Biderivations, local and 2-local derivation and automorphism of simple ω-Lie algebras

classification math.RA
keywords localderivationalgebrasautomorphismautomorphismseveryfracmathfrak
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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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