{ "id": "1710.01071", "version": "v1", "published": "2017-10-03T10:58:43.000Z", "updated": "2017-10-03T10:58:43.000Z", "title": "(2+)-replication and the Baby Monster", "authors": [ "Chris Cummins", "Rodrigo Matias" ], "comment": "42 pages", "categories": [ "math.RT" ], "abstract": "The definitions of replicable and completely replicable functions are intimately related to the Hecke Operators for the modular group. We define the notions of \"(2+)-replicable\" and \"completely (2+)-replicable\" functions by considering the Hecke Operators for \\Gamma_0(2)+. We prove that the McKay-Thompson series for 2.B, as computed by H\\\"ohn, are completely (2+)-replicable.", "revisions": [ { "version": "v1", "updated": "2017-10-03T10:58:43.000Z" } ], "analyses": { "keywords": [ "baby monster", "hecke operators", "modular group", "mckay-thompson series" ], "note": { "typesetting": "TeX", "pages": 42, "language": "en", "license": "arXiv", "status": "editable" } } }