Representations of Generalized Loop Planar Galilean Conformal Algebras W(Γ)

In this article, we study the representation of generalized loop planar Galilean conformal algebra $W\left(\Gamma \right)$; we will determine the Harish-Chandra modules, Verma modules, Whittaker modules, and $U\left(h\right)$-free modules of $W\left(\Gamma \right)$.