Work

$E$-symmetric algebras I

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.17070

Authors: Bobiński, Grzegorz, Schröer, Jan

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, Uniwersytet Mikolaja Kopernika w Toruniu

Awards: EXC 2047: Hausdorff Center for Mathematics (HCM), G8847963564

OpenAlex ID: W7221780342

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