The Virasoro Algebra and Some Exceptional Lie and Finite Groups

Michael P. Tuite

doi:10.13025/15174

The Virasoro Algebra and Some Exceptional Lie and Finite Groups

Michael P. Tuite

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English (Ireland)
Article number	008
Journal	Symmetry Integrability And Geometry-Methods And Applications
Volume	3
DOIs	https://doi.org/10.13025/15174
Publication status	Published - 1 Jul 2007

Keywords

Deligne exceptional series
Monster group
Vertex operator algebras
Virasoro algebras

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10.13025/15174Licence: CC BY-NC-ND

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abstract = "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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KW - Deligne exceptional series

KW - Monster group

KW - Vertex operator algebras

KW - Virasoro algebras

UR - http://hdl.handle.net/10379/2449

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JO - Symmetry Integrability And Geometry-Methods And Applications

JF - Symmetry Integrability And Geometry-Methods And Applications

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ER -

The Virasoro Algebra and Some Exceptional Lie and Finite Groups

Abstract

Keywords

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