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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.
Sheng et al. (Thu,) studied this question.
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