Kavli Affiliate: Jie Shan
| First 5 Authors: Yin Chen, Yin Chen, , ,
| Summary:
This article explores the structure theory of compatible generalized derivations of finite-dimensional $ω$-Lie algebras over a field $mathbbK$. We prove that any compatible quasiderivation of an $ω$-Lie algebra can be embedded as a compatible derivation into a larger $ω$-Lie algebra, refining the general result established by Leger and Luks in 2000 for finite-dimensional nonassociative algebras. We also provide an approach to explicitly compute (compatible) generalized derivations and quasiderivations for all $3$-dimensional non-Lie complex $ω$-Lie algebras.
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