{ "id": "1906.04499", "version": "v1", "published": "2019-06-11T11:11:34.000Z", "updated": "2019-06-11T11:11:34.000Z", "title": "Nilpotent elements in the cohomology of the classifying space of a connected Lie group", "authors": [ "Masaki Kameko" ], "comment": "8 pages", "categories": [ "math.AT" ], "abstract": "We give an example of a compact connected Lie group of the lowest rank such that the mod 2 cohomology ring of its classifying space has a nonzero nilpotent element.", "revisions": [ { "version": "v1", "updated": "2019-06-11T11:11:34.000Z" } ], "analyses": { "subjects": [ "55R40" ], "keywords": [ "classifying space", "cohomology", "compact connected lie group", "nonzero nilpotent element", "lowest rank" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }