Biderivations of the Galilean conformal algebra and their applications

Abstract

In this paper, the biderivations of the Galiean conformal algebra are determined. As an application, the forms of the commutative post-Lie algebra structures on the Galiean conformal algebra are obtained.

Mathematics Subject Classification (2010): 17B05, 17B40, 17B68.

Keywords: Biderivation, Galilean conformal algebra, post-Lie algebra