Посилання: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.
Підтримка:This paper is a contribution to the Proceedings of the O’Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 22–24, 2006, Budapest, Hungary). The author thanks A. Matsuo and G. Mason for very useful discussions and H. Maruoka, A. Matsuo and H. Shimakura for generously making Ref. available.
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.