N-Derivations of the Extended Schrödinger–Virasoro Lie Algebra

Abstract

Let [Formula: see text] be the extended Schrödinger–Virasoro Lie algebra and [Formula: see text] an integer. A map [Formula: see text] is called an [Formula: see text]-derivation if it is a derivation in one variable while other variables fixed. We investigate [Formula: see text]-derivations of the extended Schrödinger–Virasoro Lie algebra [Formula: see text]. The main result when [Formula: see text] is then applied to characterize the linear commuting maps and the commutative post-Lie algebra structures on [Formula: see text].