Biderivations And Linear Commuting Maps On The Twisted Deformative Schr(?)dinger-Virasoro Lie Algebras

The structures and the linear commuting mapping theory of the Lie algebras are two relatively popular research directions. Considering that the infinite dimensional Schrodinger Lie algebras and Virasoro algebras play an important role in many fields of mathematics and physics, this paper mainly researches the antisymmetric biderivations and linear commuting maps of the twisted deformative Schrodinger-Virasoro Lie algebras.The structures of the derivations of the Lie algebras are the main research directions. In recent years, the structure problems for derivations and biderivations of the Schrodinger-Virasoro Lie algebras have been solved. Inspired by the deduced thoughts of the biderivations, this paper mainly proves every antisymmetric biderivation has the structure of the inner biderivation in the related constraint conditions ?(?)1/2Z,??C and ??1/2Z,??1.The linear commuting maps of the associative algebras have already been widely researched. However, in terms of the linear commuting maps of the Lie algebras, the researched objects are only the ones whose structures are determined by their own enveloping algebras. So someone ex-pands the scope of the research objects to the Schrodinger-Virasoro Lie algebras. Inspired by that paper, on the basis of the antisymmetric biderivations of the twisted deformative Schrodinger-Virasoro Lie algebras, by using a similar approach, we get the form of the linear commuting maps of the twisted deformative Schrodinger-Virasoro Lie algebras in the related constraint conditions ?(?)1/2Z, ? ?C and ??1/2Z, ?? 1.