{ "id": "1310.7347", "version": "v3", "published": "2013-10-28T09:03:54.000Z", "updated": "2014-03-25T03:44:02.000Z", "title": "Kazhdan-Lusztig coefficients for the lowest two-sided cell of type $\\tilde{G_{2}}$", "authors": [ "Peng-Fei Guo", "Hai-Tao Ma", "Zhu-Jun Zheng" ], "comment": "96 pages", "categories": [ "math.RT", "math-ph", "math.MP" ], "abstract": "This paper studies the Kazhdan-Lusztig coefficients $\\mu(u,w)$ of the Kazhdan-Lusztig polynomials $P_{u,w}$ for the lowest cell ${c_{0}}$ of an affine Weyl group of type $\\widetilde{G_{2}}$ and gives an estimation $\\mu(u,w)\\leqslant 3$ for $u,w\\in c_{0}$.", "revisions": [ { "version": "v3", "updated": "2014-03-25T03:44:02.000Z" } ], "analyses": { "keywords": [ "lowest two-sided cell", "kazhdan-lusztig coefficients", "affine weyl group", "paper studies", "kazhdan-lusztig polynomials" ], "note": { "typesetting": "TeX", "pages": 96, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1310.7347G" } } }