{ "id": "0808.2352", "version": "v2", "published": "2008-08-18T08:35:41.000Z", "updated": "2010-04-30T09:16:41.000Z", "title": "Cluster-tilted algebras and their intermediate coverings", "authors": [ "Bin Zhu" ], "comment": "revised version", "categories": [ "math.RT", "math.RA" ], "abstract": "We construct the intermediate coverings of cluster-tilted algebras by defining the generalized cluster categories. These generalized cluster categories are Calabi-Yau triangulated categories with fraction CY-dimension and have also cluster tilting objects (subcategories). Furthermore we study the representations of these intermediate coverings of cluster-tilted algebras.", "revisions": [ { "version": "v2", "updated": "2010-04-30T09:16:41.000Z" } ], "analyses": { "subjects": [ "16G20" ], "keywords": [ "intermediate coverings", "cluster-tilted algebras", "generalized cluster categories", "calabi-yau triangulated categories", "fraction cy-dimension" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0808.2352Z" } } }