{ "id": "2002.09388", "version": "v1", "published": "2020-02-21T16:16:55.000Z", "updated": "2020-02-21T16:16:55.000Z", "title": "Automorphic Lie algebras and modular forms", "authors": [ "V. Knibbeler", "S. Lombardo", "A. P. Veselov" ], "categories": [ "math.RT" ], "abstract": "We introduce and study hyperbolic versions of automorphic Lie algebras for the modular group $SL(2,\\mathbb Z)$ acting naturally on the upper half-plane $\\mathbb H^2$ and on the Lie algebra $\\mathfrak g=sl(2, \\mathbb C)$ by conjugation.", "revisions": [ { "version": "v1", "updated": "2020-02-21T16:16:55.000Z" } ], "analyses": { "keywords": [ "automorphic lie algebras", "modular forms", "study hyperbolic versions", "modular group", "upper half-plane" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }