{ "id": "2105.02000", "version": "v1", "published": "2021-05-05T11:55:17.000Z", "updated": "2021-05-05T11:55:17.000Z", "title": "Classification of irreducible integrable modules for extended affine Lie algebras with center acting trivially", "authors": [ "Santanu Tantubay", "Punita Batra" ], "comment": "12 pages", "categories": [ "math.RT" ], "abstract": "We classify the irreducible integrable modules for the twisted toroidal extended affine Lie algebras with fnite diemnsional weight spaces where the fnite dimensional center acts trivially. We have proved that the entire central extension part acts trivially on the modules and our modules turn out to be highest weight modules.", "revisions": [ { "version": "v1", "updated": "2021-05-05T11:55:17.000Z" } ], "analyses": { "subjects": [ "17B66", "17B67" ], "keywords": [ "extended affine lie algebras", "irreducible integrable modules", "toroidal extended affine lie", "dimensional center acts", "center acting" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }