Let sv be the extended Schrödinger–Virasoro Lie algebra and n≥1 an integer.A map f:svn=sv×sv×⋯×sv→sv is called an n-derivation if it is a derivation in one variable while other variables fixed.W...Let sv be the extended Schrödinger–Virasoro Lie algebra and n≥1 an integer.A map f:svn=sv×sv×⋯×sv→sv is called an n-derivation if it is a derivation in one variable while other variables fixed.We investigate n-derivations of the extended Schrödinger–Virasoro Lie algebra sv.The main result when n=2 is then applied to characterize the linear commuting maps and the commutative post-Lie algebra structures on sv.展开更多
基金This work was supported in part by the NSFC(No.11771069)the NSF of Heilongjiang Province(No.LH2020A020)the Fund of Heilongjiang Provincial Laboratory of the Theory and Computation of Complex Systems。
文摘Let sv be the extended Schrödinger–Virasoro Lie algebra and n≥1 an integer.A map f:svn=sv×sv×⋯×sv→sv is called an n-derivation if it is a derivation in one variable while other variables fixed.We investigate n-derivations of the extended Schrödinger–Virasoro Lie algebra sv.The main result when n=2 is then applied to characterize the linear commuting maps and the commutative post-Lie algebra structures on sv.
