Representations of an 8m-dimensional non-pointed Hopf algebra of tame type

Abstract

In this paper, representations of the [Formula: see text]-dimensional non-pointed Hopf algebra [Formula: see text] of tame type are studied, where [Formula: see text] is even. First, the isomorphism classes of all indecomposable modules of [Formula: see text] are classified and the components of Auslander–Reiten quivers are constructed. Second, the tensor products of arbitrary indecomposable modules and simple (or projective) modules are established and the projective class rings and Grothendieck rings of [Formula: see text] are characterized.