The Virasoro Algebra and Some Exceptional Lie and Finite Groups

The Virasoro Algebra and Some Exceptional Lie and Finite Groups

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 M...

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Bibliographic Details
Main Author: Michael P. Tuite
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-01-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
vertex operator algebras
Virasoro algebras
Deligne exceptional series
Monster group
Online Access:http://www.emis.de/journals/SIGMA/2007/008/
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spelling doaj-3cbf4f9585c641d18cb824319ca205742020-11-25T00:38:13ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592007-01-013008The Virasoro Algebra and Some Exceptional Lie and Finite GroupsMichael P. TuiteWe 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.http://www.emis.de/journals/SIGMA/2007/008/vertex operator algebrasVirasoro algebrasDeligne exceptional seriesMonster group
collection DOAJ
language English
format Article
sources DOAJ
author Michael P. Tuite
spellingShingle Michael P. Tuite
The Virasoro Algebra and Some Exceptional Lie and Finite Groups
Symmetry, Integrability and Geometry: Methods and Applications
vertex operator algebras
Virasoro algebras
Deligne exceptional series
Monster group
author_facet Michael P. Tuite
author_sort Michael P. Tuite
title The Virasoro Algebra and Some Exceptional Lie and Finite Groups
title_short The Virasoro Algebra and Some Exceptional Lie and Finite Groups
title_full The Virasoro Algebra and Some Exceptional Lie and Finite Groups
title_fullStr The Virasoro Algebra and Some Exceptional Lie and Finite Groups
title_full_unstemmed The Virasoro Algebra and Some Exceptional Lie and Finite Groups
title_sort virasoro algebra and some exceptional lie and finite groups
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2007-01-01
description 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.
topic vertex operator algebras
Virasoro algebras
Deligne exceptional series
Monster group
url http://www.emis.de/journals/SIGMA/2007/008/
work_keys_str_mv AT michaelptuite thevirasoroalgebraandsomeexceptionallieandfinitegroups
AT michaelptuite virasoroalgebraandsomeexceptionallieandfinitegroups
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