Skew-symmetric biderivations and linear commuting maps on the commuting maps on the conformal Galilei-era

In this paper, we prove that every skew-symmetric biderivation of the conformal Galilei algebra is inner. Based on the result of biderivations, we show that all the linear commuting maps on the conformal Galilei algebra which have the form psi(x) = lambda x + omega(x)z are not standard.