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Socle deformed preprojective algebras of generalized Dynkin type

Volume 156 / 2019

Jerzy Białkowski 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.

Authors

  • Jerzy BiałkowskiFaculty of Mathematics and Computer Science
    Nicolaus Copernicus University
    Chopina 12/18
    87-100 Toruń, Poland
    e-mail

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