{ "id": "1711.04706", "version": "v1", "published": "2017-11-13T17:08:58.000Z", "updated": "2017-11-13T17:08:58.000Z", "title": "The gamma filtrations of K-theory of complete flag varieties", "authors": [ "Nobuaki Yagita" ], "comment": "23 page, no figures. arXiv admin note: text overlap with arXiv:1609.08721", "categories": [ "math.AT", "math.KT" ], "abstract": "Let G be a simply connected compact Lie group and T its maximal torus. We compute the graded ring gr_{gamma}(G/T) associated with the gamma filtration of the complex K-theory K(G/T). We use the Chow ring of the corresponding versal flag variety.", "revisions": [ { "version": "v1", "updated": "2017-11-13T17:08:58.000Z" } ], "analyses": { "subjects": [ "57T15", "20G15", "14G15" ], "keywords": [ "complete flag varieties", "gamma filtration", "simply connected compact lie group", "corresponding versal flag variety", "complex k-theory" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable" } } }