The complexity of minimal degenerations for representation-finite selfinjective algebras

✍ Scribed by Robert Aehle

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 208 KB
• Volume: 274
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1016/s0021-8693(03)00524-6

✦ Synopsis

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.