Moonshine beyond the Monster *joint with Lie Algebras & Rep.Theory

Seminar: 
Geometry, Symmetry and Physics
Event time: 
Thursday, September 22, 2005 - 11:45am to 12:45pm
Location: 
215 LOM
Speaker: 
John Duncan
Speaker affiliation: 
Yale University
Event description: 

We introduce the notion of enhanced vertex operator algebra, which is a refinement of the notion of vertex operator algebra. Among the examples are one whose full automorphism group is a direct product of a cyclic group of order seven with the sporadic simple group of Rudvalis. Consequently we obtain a family of modular invariant functions attached to the conjugacy classes of the Rudvalis group; an example of Monstrous Moonshine for a finite simple group not involved in the Monster.