On the representations of a family of pointed Hopf algebras

For each 1 and, , we study the representations of a family of pointed Hopf algebras A,. These arise as Hopf cocycle deformations of the graded algebra FK₃\# G₃, , where FK₃ is the Fomin-Kirillov algebra and G₃, is a given non-abelian finite group. We compute the simple modules, their projective covers and formulate a description of tensor products. We observe that our results are fundamentally different according to the shape of the Hopf cocycle involved in the deformation.