Fricke Lie algebras and the genus zero property in Moonshine

Autor:	Carnahan, Scott
Rok vydání:	2017
Předmět:	Mathematics - Representation Theory Mathematics - Number Theory 11F22 17B65
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8121/aa781d
Popis:	We give a new, simpler proof that the canonical actions of finite groups on Fricke-type Monstrous Lie algebras yield genus zero functions in Generalized Monstrous Moonshine, using a Borcherds-Kac-Moody Lie algebra decomposition due to Jurisich. We describe a compatibility condition, arising from the no-ghost theorem in bosonic string theory, that yields the genus zero property. We give evidence for and against the conjecture that such a compatibility for symmetries of the Monster Lie algebra gives a characterization of the Monster group. Comment: 19 pages, final version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1701.07846 Zobrazit plný text záznamu View this record from Arxiv