{ "id": "1610.07082", "version": "v1", "published": "2016-10-22T17:53:40.000Z", "updated": "2016-10-22T17:53:40.000Z", "title": "Structure of parabolically induced modules for affine Kac-Moody algebras", "authors": [ "Vyacheslav Futorny", "Iryna Kashuba" ], "categories": [ "math.RT" ], "abstract": "The main result of the paper establishes the irreducibility of a large family of nonzero central charge induced modules over Affine Lie algebras for any non standard parabolic subalgebra. It generalizes all previously known partial results and provides a a construction of many new irreducible modules.", "revisions": [ { "version": "v1", "updated": "2016-10-22T17:53:40.000Z" } ], "analyses": { "keywords": [ "affine kac-moody algebras", "parabolically induced modules", "non standard parabolic subalgebra", "nonzero central charge induced modules", "affine lie algebras" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }