{ "id": "math-ph/0312030", "version": "v2", "published": "2003-12-10T16:32:46.000Z", "updated": "2004-12-17T18:17:46.000Z", "title": "Good Gradings of Simple Lie Algebras", "authors": [ "A. G. Elashvili", "V. G. Kac" ], "comment": "needs AMS trans2-1.cls", "journal": "Amer. Math. Soc. Transl. (2) vol 213 (2005), 85-104", "categories": [ "math-ph", "math.MP" ], "abstract": "We study and give a complete classification of good $\\ZZ$-gradings of all simple finite-dimensional Lie algebras. This problem arose in the quantum Hamiltonian reduction for affine Lie algebras.", "revisions": [ { "version": "v2", "updated": "2004-12-17T18:17:46.000Z" } ], "analyses": { "keywords": [ "simple lie algebras", "simple finite-dimensional lie algebras", "affine lie algebras", "quantum hamiltonian reduction", "complete classification" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math.ph..12030E" } } }