{ "id": "1904.08904", "version": "v1", "published": "2019-04-18T17:29:22.000Z", "updated": "2019-04-18T17:29:22.000Z", "title": "A corollary of Stanley's Hook Content Formula", "authors": [ "Mark Wildon" ], "comment": "8 pages", "categories": [ "math.CO" ], "abstract": "We use the hook lengths of a partition to define two rectangular tableaux. We prove these tableaux have equal multisets of entries, first by elementary combinatorial arguments, and then using Stanley's Hook Content Formula and symmetric polynomials.", "revisions": [ { "version": "v1", "updated": "2019-04-18T17:29:22.000Z" } ], "analyses": { "subjects": [ "05E05", "05E10" ], "keywords": [ "stanleys hook content formula", "elementary combinatorial arguments", "symmetric polynomials", "rectangular tableaux", "hook lengths" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }