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

Yong Yang, Liming Tang, Liangyun Chen

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 $\…