Biderivations of the deformative Schrödinger-Virasoro algebras.

For a , b ∈ C , s = 0 or 1 2 , the deformative Schrödinger-Virasoro algebra W (a , b , s) is the semi-direct product Lie algebra of the Witt algebra and its tensor density module. It contains W-algebra W (a , b) as its subalgebras, and Schrödinger-Virasoro algebra is his special case. In this paper, all biderivations of W (a , b , s) are determined. It is observed that these Lie algebras have rich variety of symmetric (and skewsymmetric) non-inner biderivations. As an application, commutative post-Lie algebra structures on W (a , b , s) are obtained. [ABSTRACT FROM AUTHOR]