{ "id": "1907.12862", "version": "v1", "published": "2019-07-30T12:43:54.000Z", "updated": "2019-07-30T12:43:54.000Z", "title": "From quasi-hereditary algebras with exact Borel subalgebras to directed bocses", "authors": [ "Tomasz Brzeziński", "Julian Külshammer", "Steffen Koenig" ], "comment": "13 pages", "categories": [ "math.RT", "math.AG", "math.RA" ], "abstract": "Up to Morita equivalence, every quasi-hereditary algebra is the dual algebra of a directed bocs or coring. From the bocs, an exact Borel subalgebra is obtained. In this paper a characterisation of exact Borel subalgebras arising in this way is given.", "revisions": [ { "version": "v1", "updated": "2019-07-30T12:43:54.000Z" } ], "analyses": { "subjects": [ "16G10", "16E45", "16T15", "17B10", "17B35" ], "keywords": [ "quasi-hereditary algebra", "directed bocs", "morita equivalence", "dual algebra", "exact borel subalgebras arising" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }