Bulg. J. Phys. vol.35 no.s1 (2008), pp. 431-438



Extensions of the Virasoro Algebra

John F. Duncan
Harvard University, Department of Mathematics, One Oxford Street, Cambridge, MA 02138, U.S.A.
Abstract. We describe a chain of super extensions of the Virasoro algebra, arising naturally from a simple geometric construction, and a correspondence between this chain and a chain of finite simple groups which arise as subquotients of the Conway group. This chain of groups is closely related to the Suzuki chain, and includes three sporadic simple groups.

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