{ "id": "2403.06684", "version": "v1", "published": "2024-03-11T13:01:43.000Z", "updated": "2024-03-11T13:01:43.000Z", "title": "The associated graded algebras of Brauer graph algebras II: infinite representation type", "authors": [ "Jing Guo", "Yuming Liu", "Yu Ye" ], "comment": "25 pages", "categories": [ "math.RT" ], "abstract": "Let $G$ be a Brauer graph and $A$ the associated Brauer graph algebra. Denote by $gr(A)$ the graded algebra associated with the radical filtration of $A$. The question when $gr(A)$ is of finite representation type was answered in [9]. In the present paper, we characterize when $gr(A)$ is domestic in terms of the associated Brauer graph $G$.", "revisions": [ { "version": "v1", "updated": "2024-03-11T13:01:43.000Z" } ], "analyses": { "subjects": [ "16G20", "11Bxx" ], "keywords": [ "infinite representation type", "associated graded algebras", "associated brauer graph algebra", "filtration" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable" } } }