A. Santi

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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.RT2026

Hyperplane arrangements and Vinberg's $I^¸$ -groups

Filippo Ambrosio, Andrea Santi

Let $g = ⨁_{i \in Z / m Z} g_{i}$ be a periodically graded semisimple complex Lie algebra. In this note, we give a uniform proof of the…

Classification of nilpotent and semisimple fourvectors of a real eight-dimensional space

Hyperplane arrangements and Vinberg's I^¸-groups

Hyperplane arrangements and Vinberg's $I^¸$ -groups