The Virasoro Algebra and Some Exceptional Lie and Finite Groups

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• ISSN: 1815-0659
• Main Author: Tuite, M.P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147803
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Virasoro Algebra and Some Exceptional Lie and Finite Groups / M.P. Tuite // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 15 назв. — англ.

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...