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arXiv · 2111.07740

Biderivations, commuting mappings and (2-)local derivations of $\mathbb{N}$-graded Lie algebras of maximal class

Yong Yang·Liming Tang·Liangyun Chen
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Abstract

In Fialowski's classification for algebras of maximal class, there are three Lie algebras of maximal class with 1-dimensional homogeneous components: $\mathfrak{m}_0$, $L_1$ and $\mathfrak{m}_2$. In this paper, we studied their biderivations by considering the embedded mapping to derivation algebras. Then we determined commuting mappings on these algebras as an application of biderivations. Finally, local and 2-local derivations for these three algebras were characterized as the given gradings.

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Yong Yang, Liming Tang, Liangyun Chen. 2021-10-31. Biderivations, commuting mappings and (2-)local derivations of $\mathbb{N}$-graded Lie algebras of maximal class. https://arxiv.org/abs/2111.07740

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