Derivations and local derivations on the 1-spatial ageing algebra 𝔞𝔤𝔢(1)

This paper is devoted to the study of derivations and local derivations on the 1-spatial ageing algebra [Formula: see text]. As our main results, the derivation algebra of [Formula: see text] is completely determined and we show that this algebra admits local derivations which are not derivations. Moreover, we present all local derivations on this finite dimensional solvable Lie algebra.