{ "id": "math/0602106", "version": "v1", "published": "2006-02-06T20:10:20.000Z", "updated": "2006-02-06T20:10:20.000Z", "title": "On eigenvectors of nilpotent Lie algebras of linear operators", "authors": [ "Morris W. Hirsch", "Joel W. Robbin" ], "comment": "Four pages", "categories": [ "math.RT", "math.RA" ], "abstract": "We give a condition ensuring that the operators in a nilpotent Lie algebra of linear operators on a finite dimensional vector space have a common eigenvector.", "revisions": [ { "version": "v1", "updated": "2006-02-06T20:10:20.000Z" } ], "analyses": { "keywords": [ "nilpotent lie algebra", "linear operators", "finite dimensional vector space", "common eigenvector" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......2106H" } } }