Rational forms of nilpotent Lie algebras and Anosov diffeomorphisms

We compute the set of all rational forms up to isomorphism for some real nilpotent Lie algebras of dimension 8. This is part of the classification of nilmanifolds admitting an Anosov diffeomorphism in dimension at most 8. Author’s address: FaMAF and CIEM, Universidad Nacional de Córdoba, Córdoba, Argentina