The Virasoro Algebra and Some Exceptional Lie and Finite Groups

Details The Virasoro Algebra and Some Exceptional Lie and Finite Groups The Virasoro Algebra and Some Exceptional Lie and Finite Groups

2006-10-10

arxiv.org/abs/math/0610322v2

SIGMA 3 (2007), 008, 13 pages

Mathematics

Quantum Algebra

This is a contribution to the Proc. of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (

Scientific paper

10.3842/SIGMA.2007.008

We describe a number of relationships between properties of the vacuum Verma
module of a Virasoro algebra and the automorphism group of certain vertex
operator algebras. These groups include the Deligne exceptional series of
simple Lie groups and some exceptional finite simple groups including the
Monster and Baby Monster.

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