{ "id": "2109.01471", "version": "v1", "published": "2021-08-27T16:39:48.000Z", "updated": "2021-08-27T16:39:48.000Z", "title": "Orbital varieties in types $B$ and $C$", "authors": [ "William M. McGovern" ], "comment": "4 pages", "categories": [ "math.RT", "math.CO" ], "abstract": "We correct the proof of the main result of an earlier paper, parametrizing orbital varieties in a complex simple Lie algebra of type $B$ or $C$ in terms of domino tableaux and showing how to compute the orbital variety attached to an element of the Weyl group in either of these types.", "revisions": [ { "version": "v1", "updated": "2021-08-27T16:39:48.000Z" } ], "analyses": { "subjects": [ "22E46" ], "keywords": [ "orbital variety", "complex simple lie algebra", "earlier paper", "parametrizing orbital varieties", "main result" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }