Explicit Orbit Classification of Reducible Jordan Algebras and   Freudenthal Triple Systems
  We determine explicit orbit representatives of reducible Jordan algebras and of their corresponding Freudenthal triple systems. This work has direct application to the classification of extremal black hole solutions of N = 2, 4 locally supersymmetric theories of gravity coupled to an arbitrary number of Abelian vector multiplets in D = 4, 5 space-time dimensions. 
L. Borsten, M. J. Duff, S. Ferrara, A. Marrani and W. Rubens
math.RA hep-th math.RT