The complexity of minimal degenerations for representation-finite selfinjective algebras

Minimal degenerations of modules over all but one exceptional class of representation-finite selfinjective algebras are given by extensions [G. Zwara, Colloq. Math. 75 (1998) 91]. This means in terms of the complexity of degenerations, that these minimal degenerations have complexity one. The minimal degenerations of modules for the exceptional class of representation-finite selfinjective algebras are studied by R. Aehle [J. London Math. Soc. 66 (2002) 73]. In this paper it is shown that these degenerations have complexity less or equal to two. (C) 2004 Elsevier Inc. All rights reserved.