{ "id": "2007.03806", "version": "v1", "published": "2020-07-07T22:01:41.000Z", "updated": "2020-07-07T22:01:41.000Z", "title": "Integrable bounded weight modules of classical Lie superalgebras at infinity", "authors": [ "Lucas Calixto", "Ivan Penkov" ], "comment": "28 pages", "categories": [ "math.RT" ], "abstract": "We classify integrable bounded simple weight modules over classical Lie superalgebras at infinity. We also study the categories of such modules, and we prove that for most of the classical Lie superalgebras at infinity the respective category is semisimple.", "revisions": [ { "version": "v1", "updated": "2020-07-07T22:01:41.000Z" } ], "analyses": { "subjects": [ "17B10", "17B65" ], "keywords": [ "classical lie superalgebras", "integrable bounded weight modules", "integrable bounded simple weight modules", "classify integrable bounded simple weight" ], "note": { "typesetting": "TeX", "pages": 28, "language": "en", "license": "arXiv", "status": "editable" } } }