4 papers
Classification of nilpotent and semisimple fourvectors of a real eight-dimensional space
Emanuele Di Bella, Willem A. de Graaf, Andrea Santi
In 1981 Antonyan classified the orbits of SL on . This is an example of a -group action as introduced and studied by Vinberg. The orbi…
Some rigidity results for supergravity backgrounds in 11 dimensions
Emanuele Di Bella, Willem A. de Graaf, Andrea Santi
This paper is a contribution to the supersymmetry gap problem for supergravity backgrounds in dimensions. We study restrictions on the curvature of and, us…
Hyperplane arrangements and Vinberg's -groups
Filippo Ambrosio, Andrea Santi
Let be a periodically graded semisimple complex Lie algebra. In this note, we give a uniform proof of the…
Fermionic Spencer Cohomologies of D=11 Supergravity
C. A. Cremonini, P. A. Grassi, R. Noris +2
We combine the theory of Cartan-Tanaka prolongations with the Molien-Weyl integral formula and Hilbert-Poincaré series to compute the Spencer cohomology groups of the Poinc…