Stable Green ring of the Drinfeld doubles of the generalised Taft algebras (corrections and new results)

Abstract

We return to the fusion rules for the Drinfeld double of the duals of the generalised Taft algebras that we studied in [9]. We first correct some proofs and statements in [9] that were incorrect, using stable homomorphisms. We then complete this with new results on fusion rules for the modules we had not studied in [9] and a classification of endotrivial and algebraic modules.

The presentation has been improved, so that the paper is now self-contained.In the latest version, we have changed the title and added a section summarising the Green ring structure. To appear in Algebras and Representation Theory