4 papers
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…
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 orbit…
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 Poinca…