This paper focuses on filiform Lie algebras [Formula: see text] in matrix version. We give the matrix forms of automorphisms (derivations) of [Formula: see text]. We prove that linear 2-local automorphisms (derivations) are automorphisms (derivations). Using the results of derivations of [Formula: see text], we describe biderivations on [Formula: see text]. As application, we characterize linear commuting maps and the commutative Post-Lie algebra structures on [Formula: see text].
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Sheng et al. (2024) studied this question.
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