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math.RT2025
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…
math.RT2021★ 1 cited
Classification of real trivectors in dimension nine
Mikhail Borovoi, Willem A. de Graaf, Hông Vân Lê
We classify real trivectors in dimension 9. The corresponding classification over the field C of complex numbers was obtained by Vinberg and Elashvili in 1978. One of the main tool…
math.RT2009★ 14 cited
Induced nilpotent orbits of the simple Lie algebras of exceptional type
W. A. de Graaf, A. G. Elashvili
We describe algorithms for computing the induced nilpotent orbits in semisimple Lie algebras. We use them to obtain the induction tables for the Lie algebras of exceptional type. T…