Year: 2026
Type: preprint
Abstract: We study stable equivalences of Brauer graph algebras. We prove that a basic symmetric algebra without semisimple summands which is stably equivalent to a Brauer graph algebra is again a Brauer graph algebra. In particular, Brauer graph algebras are closed up to semisimple summands under stable equivalence of Morita type. As consequences, we reprove the closure under derived equivalence established by Antipov and Zvonareva and obtain a solution of the reconstruction problem posed by Rickard and Rouquier for algebras stably equivalent of Morita type to Brauer graph algebras.
Source: arXiv (Cornell University)
Institutions: Beijing Normal University, Liaoning Normal University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203612912