{ "id": "2106.06413", "version": "v1", "published": "2021-06-11T14:12:15.000Z", "updated": "2021-06-11T14:12:15.000Z", "title": "The full group of isometries of some compact Lie groups endowed with a bi-invariant metric", "authors": [ "Alberto Dolcetti", "Donato Pertici" ], "categories": [ "math.DG" ], "abstract": "We describe the full group of isometries of absolutely simple, compact, connected real Lie groups, of SO(4) and of U(n), endowed with suitable bi-invariant Riemannian metrics.", "revisions": [ { "version": "v1", "updated": "2021-06-11T14:12:15.000Z" } ], "analyses": { "subjects": [ "53C35", "22E15" ], "keywords": [ "compact lie groups", "full group", "bi-invariant metric", "isometries", "connected real lie groups" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }