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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 008, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.008 (Mi sigma134) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Virasoro Algebra and Some Exceptional Lie and Finite Groups

Michael P. Tuite

Department of Mathematical Physics, National University of Ireland, Galway, Ireland
Full-text PDF (255 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2007.008
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.
Keywords: vertex operator algebras; Virasoro algebras; Deligne exceptional series; Monster group.
Received: October 9, 2006; in final form December 16, 2006; Published online January 8, 2007
Bibliographic databases:
Document Type: Article
MSC: 17B68; 20D08; 17B69; 81R05; 81R10
Language: English
Citation: Michael P. Tuite, “The Virasoro Algebra and Some Exceptional Lie and Finite Groups”, SIGMA, 3 (2007), 008, 13 pp.
Citation in format AMSBIB
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\paper The Virasoro Algebra and Some Exceptional Lie and Finite Groups
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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