Socle deformed preprojective algebras of generalized Dynkin type
Volume 156 / 2019
Colloquium Mathematicum 156 (2019), 165-197
MSC: Primary 16D50, 16G20; Secondary 16G50.
DOI: 10.4064/cm7527-5-2018
Published online: 20 December 2018
Abstract
We provide a complete classification of finite-dimensional self-injective algebras which are socle equivalent to preprojective algebras of generalized Dynkin type. In particular, we conclude that these algebras are deformed preprojective algebras of generalized Dynkin type (in the sense of Białkowski–Erdmann–Skowroński (2007)), and hence are periodic algebras.
