On the uniqueness of the moonshine vertex operator algebra

2005/06/16 by Chongying Dong, Dong, Chongying, Robert L. Griess Jr. +3
Mathematics · #17B69 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:17B69

paper · pdf · doi:10.48550/arxiv.math/0506321

23pages

arxiv created 2005/06/16 · arxiv updated 2009/12/01

Abstract

It is proved that a vertex operator algebra is isomorphic to the moonshine VOA of Frenkel-Lepowsky-Meurman if it satisfies certain conditions. Our two main theorems establish a weak version of the FLM uniqueness conjecture for the moonshine vertex operator algebra. We believe that these are the first such results.

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