{ "id": "math/0501054", "version": "v1", "published": "2005-01-05T00:02:43.000Z", "updated": "2005-01-05T00:02:43.000Z", "title": "Nilpotent orbits of linear and cyclic quivers and Kazhdan-Lusztig polynomials of type A", "authors": [ "Anthony Henderson" ], "comment": "34 pages", "journal": "Represent. Theory 11 (2007), pp. 95-121", "categories": [ "math.RT", "math.CO" ], "abstract": "The intersection cohomologies of closures of nilpotent orbits of linear (respectively, cyclic) quivers are known to be described by Kazhdan-Lusztig polynomials for the symmetric group (respectively, the affine symmetric group). We explain how to simplify this description using a combinatorial cancellation procedure, and derive some consequences for representation theory.", "revisions": [ { "version": "v1", "updated": "2005-01-05T00:02:43.000Z" } ], "analyses": { "subjects": [ "17B37", "05E15", "20C08" ], "keywords": [ "kazhdan-lusztig polynomials", "nilpotent orbits", "cyclic quivers", "affine symmetric group", "combinatorial cancellation procedure" ], "tags": [ "journal article" ], "publication": { "publisher": "AMS", "journal": "Represent. Theory" }, "note": { "typesetting": "TeX", "pages": 34, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......1054H" } } }