{ "id": "2411.02765", "version": "v1", "published": "2024-11-05T03:20:58.000Z", "updated": "2024-11-05T03:20:58.000Z", "title": "Endomorphism algebras of silting complexes", "authors": [ "Lidia Angeleri Hügel", "Marcelo Lanzilotta", "Jifen Liu", "Sonia Trepode" ], "comment": "17 pages", "categories": [ "math.RT" ], "abstract": "We consider endomorphism algebras of $n$-term silting complexes in derived categories of hereditary algebras, and we show that the module category of such an endomorphism algebra has a separated $n$-section. For $n=3$ we obtain a trisection in the sense of [2].", "revisions": [ { "version": "v1", "updated": "2024-11-05T03:20:58.000Z" } ], "analyses": { "keywords": [ "endomorphism algebra", "hereditary algebras", "term silting complexes", "module category" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }