Representation-finite tensor product of simply connected algebras

Abstract

We determine the representation-finiteness of $A\otimes B$, where both $A$ and $B$ are simply connected algebras with at least three simple modules.

21pages. In this version, the title has been revised to reflect changes in the description style of the main results; two previously unsolved cases have been resolved leading to the completion of our classification; a complete list of minimal representation-infinite cases is provided