From Brauer graph algebras to biserial weighted surface algebras
Representation Theory
2018-08-23 v4
Abstract
We prove that the class of Brauer graph algebras coincides with the class of indecomposable idempotent algebras of biserial weighted surface algebras. These algebras are associated to triangulated surfaces with arbitrarily oriented triangles, investigated in [17] and [18]. Moreover we prove that Brauer graph algebras are idempotent algebras of periodic weighted surface algebras, investigated in [17] and [19].
Keywords
Cite
@article{arxiv.1706.07693,
title = {From Brauer graph algebras to biserial weighted surface algebras},
author = {Karin Erdmann and Andrzej Skowroński},
journal= {arXiv preprint arXiv:1706.07693},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1706.00688 and arXiv:1703.02346