An explicit construction of simple-minded systems over self-injective Nakayama algebras
Volume 164 / 2021
Colloquium Mathematicum 164 (2021), 185-210
MSC: Primary 16G20; Secondary 11Bxx.
DOI: 10.4064/cm8040-12-2019
Published online: 4 September 2020
Abstract
Recently, we obtained a new characterization for an orthogonal system to be a simple-minded system in the stable module category of any representation-finite self-injective algebra. In this paper, we apply this result to give an explicit construction of simple-minded systems over self-injective Nakayama algebras.
