Socle equivalences of weighted surface algebras
Representation Theory
2021-08-27 v3
Abstract
We describe the structure and properties of the finite-dimensional symmetric algebras over an algebraically closed field which are socle equivalent to the general weighted surface algebras of triangulated surfaces, investigated in Erdmann and Skowro\'nski (J. Algebra 544:170-227, 2020). In particular, we prove that all these algebras are tame periodic algebras of period 4. The main results of this paper form an essential step towards a classification of all symmetric tame periodic algebras of period 4.
Cite
@article{arxiv.2006.12923,
title = {Socle equivalences of weighted surface algebras},
author = {Jerzy Białkowski and Karin Erdmann and Adam Hajduk and Andrzej Skowroński and Kunio Yamagata},
journal= {arXiv preprint arXiv:2006.12923},
year = {2021}
}
Comments
26 pages