{ "id": "2109.01472", "version": "v1", "published": "2021-08-27T16:43:37.000Z", "updated": "2021-08-27T16:43:37.000Z", "title": "Orbital varieties in type $D$", "authors": [ "William M. McGovern" ], "comment": "3 pages", "categories": [ "math.RT", "math.CO" ], "abstract": "We correct the proof of the main result in an earlier paper, showing how to parametrize orbital varieties in a complex simple Lie algebra of type $D$ in terms of domino tableaux and showing how to compute variety attached to any element of the Weyl group in this type.", "revisions": [ { "version": "v1", "updated": "2021-08-27T16:43:37.000Z" } ], "analyses": { "subjects": [ "22E46" ], "keywords": [ "complex simple lie algebra", "earlier paper", "parametrize orbital varieties", "main result", "domino tableaux" ], "note": { "typesetting": "TeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable" } } }