{ "id": "2006.08994", "version": "v1", "published": "2020-06-16T08:49:27.000Z", "updated": "2020-06-16T08:49:27.000Z", "title": "On some subspaces of the exterior algebra of a simple Lie algebra", "authors": [ "Jean-Yves Charbonnel" ], "categories": [ "math.RT" ], "abstract": "In this article, we are interested in some subspaces of the exterior algebra of a simple Lie algebra g. In particular, we prove that some graded subspaces of degree d generate the g-module d (g) for some integers d.", "revisions": [ { "version": "v1", "updated": "2020-06-16T08:49:27.000Z" } ], "analyses": { "keywords": [ "simple lie algebra", "exterior algebra", "graded subspaces" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }