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.
Acknowledgments
We are very grateful to the referee for his (or her) valuable suggestions and comments, in particular, providing us Lemma 1.1.