LENGTH CATEGORIES OF INFINITE HEIGHT
HENNING KRAUSE AND DIETER VOSSIECK
Dedicated to Dave Benson on the occasion of his 60th birthday.
Abstract. For abelian length categories the borderline between finite and infinite representation type is discussed. Characterisations of finite represen- tation type are extended to length categories of infinite height, and the minimal length categories of infinite height are described.
Contents
1. Introduction 1
2. Length categories 1
3. Grothendieck groups and almost split sequences 3
4. Effaceable functors and pure-injectives 5
5. Uniserial categories 9
6. Minimal length categories of infinite height 12
References 16