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…
A classification of four-tuples of spinors of a ten dimensional space
Willem de Graaf, Alexander Elashvili, Mamuka Jibladze
We use the theory of theta-groups developed by Vinberg, along with computations in the computer algebra system GAP4, to classify the orbits of Spin(10,C)x SL(4,C) acting on the ten…
The subalgebras of the generalized special unitary algebra
Andrew Douglas, Willem A. de Graaf
We classify the real subalgebras of the generalized special unitary algebra , a non-compact real form of the complex special linear algebra $\mathfrak{sl}_3(\ma…
The Subalgebras of the Real Forms of \(\mathfrak{sl}_3(\mathbb{C})\)
Andrew Douglas, Willem A. de Graaf
We classify the subalgebras of the real forms the complex linear algebra , namely the real special linear algebra , the sp…