{ "id": "2410.09897", "version": "v1", "published": "2024-10-13T16:09:11.000Z", "updated": "2024-10-13T16:09:11.000Z", "title": "Some open problems on Coxeter groups and unimodality", "authors": [ "Francesco Brenti" ], "comment": "14 pages", "journal": "in \"Open Problems in Algebraic Combinatorics\", (C. Berkesch, B. Brubaker, G. Musiker, P. Pylyavskyy, and V. Reiner, editors) Proceedings of Symposia in Pure Math., American Mathematical Society, Vol. 110 (2024), 23-37", "categories": [ "math.CO", "math.GR", "math.RT" ], "abstract": "In this paper I present some open problems on Coxeter groups and unimodality, together with the main partial results, and computational evidence, that are known about them.", "revisions": [ { "version": "v1", "updated": "2024-10-13T16:09:11.000Z" } ], "analyses": { "subjects": [ "05A20", "20F55", "05E10", "05E16" ], "keywords": [ "coxeter groups", "open problems", "unimodality", "main partial results" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }