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math.GR2023
Real non-degenerate two-step nilpotent Lie algebras of dimension eight
Mikhail Borovoi, Bogdan Adrian Dina, Willem A. de Graaf
We classify the non-degenerate two-step nilpotent Lie algebras of dimension 8 over the field of real numbers, using known results over complex numbers. We write explicit structure…
math.RT2023★ 3 cited
Computing Galois cohomology of a real linear algebraic group
Mikhail Borovoi, Willem A. de Graaf
Let G be a linear algebraic group, not necessarily connected or reductive, over the field of real numbers R. We describe a method, implemented on computer, to find the first Galois…
math.RT2023
Exploring Lie theory with GAP
Willem A. de Graaf
We illustrate the Lie theoretic capabilities of the computational algebra system GAP4 by reporting on results on nilpotent orbits of simple Lie algebras that have been obtained usi…