Abstract

Let g be a noncompact real form of the simple complex Lie algebra g^c of type E₈. We obtain a list of representatives of the adjoint orbits of triples {E,H,F}⊂ g, spanning a subalgebra isomorphic to ₂(R), such that [H,E] = 2E, [H,F] = −2F, and [F,E] = H. They are chosen to be Cayley triples with respect to a fixed Cartan decomposition of g.