{ "id": "1907.01401", "version": "v1", "published": "2019-06-30T18:31:48.000Z", "updated": "2019-06-30T18:31:48.000Z", "title": "The Grothendieck group of unipotent representations: a new basis", "authors": [ "G. Lusztig" ], "comment": "37 pages. arXiv admin note: text overlap with arXiv:1805.03770", "categories": [ "math.RT" ], "abstract": "Let G(F_q) be the group of rational points of a simple algebraic group defined and split over a finite field F_q. In this paper we define a new basis for the Grothendieck group of unipotent representations of G(F_q).", "revisions": [ { "version": "v1", "updated": "2019-06-30T18:31:48.000Z" } ], "analyses": { "keywords": [ "unipotent representations", "grothendieck group", "simple algebraic group", "finite field", "rational points" ], "note": { "typesetting": "TeX", "pages": 37, "language": "en", "license": "arXiv", "status": "editable" } } }