{ "id": "1808.06896", "version": "v1", "published": "2018-08-21T13:48:42.000Z", "updated": "2018-08-21T13:48:42.000Z", "title": "A new basis for the representation ring of a Weyl group, II", "authors": [ "G. Lusztig" ], "comment": "19 pages", "categories": [ "math.RT" ], "abstract": "In a previous paper I have defined a new basis for the representation ring of a Weyl group. In this paper we show that the new basis is related to the standard basis by an upper triangular unipotent matrix. We also give a new parametrization of representations in a fixed family by certain pairs of subgroups of a finite group attached to the family.", "revisions": [ { "version": "v1", "updated": "2018-08-21T13:48:42.000Z" } ], "analyses": { "keywords": [ "weyl group", "representation ring", "upper triangular unipotent matrix", "finite group", "standard basis" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable" } } }