PreprintCC BY 4.0arXiv
E-symmetric algebras I
Abstract
We study various symmetry conditions related to the Auslander-Reiten formula for finite-dimensional algebras. In particular, we define a new class of algebras which we call E-symmetric. A theorem by Derksen-Weyman-Zelevinksy implies that all Jacobian algebras are E-symmetric. We prove the converse for the class of monomial algebras.
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BibTeX
@misc{bobinski2026esymmetric,
title = {{$E$-symmetric algebras I}},
author = {Grzegorz Bobiński and Jan Schröer},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.17070},
eprint = {2610.17070},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.17070},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E-symmetric algebras I
AU - Grzegorz Bobiński
AU - Jan Schröer
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2610.17070
UR - https://arxiv.org/abs/2610.17070
AB - We study various symmetry conditions related to the Auslander-Reiten formula for finite-dimensional algebras. In particular, we define a new class of algebras which we call E-symmetric. A theorem by Derksen-Weyman-Zelevinksy implies that all Jacobian algebras are E-symmetric. We prove the converse for the class of monomial algebras.
ER -