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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 on . This is an example of a -group action as introduced and studied by Vinberg. The orbi…
math.RT2025
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…