Emanuele Di Bella

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math.RT2026

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 $(8, C)$ on $⋀^{4} C^{8}$ . This is an example of a $I^¸$ -group action as introduced and studied by Vinberg. The orbi…

math.RT2024

Computing component groups of stabilizers of nilpotent orbit representatives

Emanuele Di Bella, Willem A. De Graaf

The theory of nilpotent orbits of simple Lie algebras has seen tremendous developments over the past decades. In this context an important role is played by the component group of…