Abstract

For , s = 0 or , the deformative Schrödinger-Virasoro algebra is the semi-direct product Lie algebra of the Witt algebra and its tensor density module. It contains W-algebra as its subalgebras, and Schrödinger-Virasoro algebra is his special case. In this paper, all biderivations of 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 are obtained.

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