Black holes and groups of type e???7

摘要

We report some results on the relation between extremal black holes in locally supersymmetric theories of gravity and groups of type e???₇, appearing as generalized electric-magnetic duality symmetries in such theories. Some basics on the covariant approach to the strati???cation of the relevant symplectic representation are reviewed, along with a connection between special K?¤hler geometry and a a€?generalizationa€? of groups of type e???₇.