{ "id": "math/0203104", "version": "v1", "published": "2002-03-11T22:18:41.000Z", "updated": "2002-03-11T22:18:41.000Z", "title": "Differential Operators and Weighted Isobaric Polynomials", "authors": [ "Trueman MacHenry", "Geanina Tudose" ], "comment": "11 pages, 2 figures", "categories": [ "math.CO", "math.AP" ], "abstract": "We characterize those sequences of weighted isobaric polynomials as defined in math.CO/0106213 which belong to the kernel of the linear operator $D_{11} - \\sum_{j=1}^k a_j t_j D_{2j} - mD_2$, and we characterize those linear operators of this form in terms of the coefficients $a_j$ which have a non-zero kernel.", "revisions": [ { "version": "v1", "updated": "2002-03-11T22:18:41.000Z" } ], "analyses": { "subjects": [ "05E05", "11B39", "47H60", "11N99" ], "keywords": [ "weighted isobaric polynomials", "differential operators", "linear operator", "non-zero kernel" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......3104M" } } }