n-Derivations of the Extended Schr(o)dinger-Virasoro Lie Algebra

Let (sb～) be the extended Schr(o)dinger-Virasoro Lie algebra and n ≥ 1 an integer.A map f: (sb～)n =(sb～) × (sb～) × … × (sb～) → (sb～) is called an n-derivation if it is a derivation inone variable while other variables fixed.We investigate n-derivations of the extendedSchr(o)dinger-Virasoro Lie algebra (sb～).The main result when n =2 is then applied tocharacterize the linear commuting maps and the commutative post-Lie algebra structureson (sb～).