Representation theory of the Drinfeld doubles of a family of Hopf algebras II: corrections and new results

We return to the fusion rules for the Drinfeld double of the duals of the generalised Taft algebras that we studied in Erdmann et al. (J. Pure Appl. Algebra 204, 413-454 2006). We first correct some proofs and statements in Erdmann et al. (J. Pure Appl. Algebra 204, 413-454 2006) that were incorrect, using stable homomorphisms. We then complete this with new results on fusion rules for the modules we had not studied in Erdmann et al. (J. Pure Appl. Algebra 204, 413-454 2006) and a classification of endotrivial and algebraic modules.