{ "id": "0805.1018", "version": "v1", "published": "2008-05-07T16:41:11.000Z", "updated": "2008-05-07T16:41:11.000Z", "title": "Spectral analysis of finite dimensional algebras and singularities", "authors": [ "Helmut Lenzing", "Jose Antonio de la Pena" ], "comment": "42 pages to appear in \"Trends in Representations of Algebras and Related Topics\" (Editor: Andzej Skowronski)", "categories": [ "math.RT", "math.AG" ], "abstract": "We give a summary on spectral techniques for finite dimensional algebras and study its link to singularity theory. In particular, we offer a contribution to the categorification of the Milnor lattice of two-dimensional singularities through triangulated categories naturally associated with a weighted projective line.", "revisions": [ { "version": "v1", "updated": "2008-05-07T16:41:11.000Z" } ], "analyses": { "subjects": [ "16G20", "16G50", "14G60" ], "keywords": [ "finite dimensional algebras", "spectral analysis", "spectral techniques", "milnor lattice", "singularity theory" ], "note": { "typesetting": "TeX", "pages": 42, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0805.1018L" } } }