{ "id": "1910.06139", "version": "v1", "published": "2019-10-14T13:41:47.000Z", "updated": "2019-10-14T13:41:47.000Z", "title": "Some examples of $t$-structures for finite-dimensional algebras", "authors": [ "Dong Yang" ], "comment": "23 pages", "categories": [ "math.RT" ], "abstract": "We describe the heart of the canonical $t$-structure on the perfect derived category of a strictly positive graded algebra as the module category over the quadratic dual. Applying this result we obtain examples showing new phenomena on $t$-structures on derived categories of finite-dimensional algebras.", "revisions": [ { "version": "v1", "updated": "2019-10-14T13:41:47.000Z" } ], "analyses": { "subjects": [ "16E35", "16G20", "16E45" ], "keywords": [ "finite-dimensional algebras", "perfect derived category", "module category", "quadratic dual" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable" } } }