Classification of admissible nilpotent orbits in simple real Lie algebras 𝐸₆₍₆₎ and 𝐸₆₍₋₂₆₎

Abstract

This paper completes the classification of admissible nilpotent orbits of the noncompact simple exceptional real Lie algebras. The author has previoulsly determined such orbits for exceptional real simple Lie algebras of inner type. Here he uses the same techniques, with some modifications, to classify the admissible nilpotent orbits of E 6 ( 6 ) E_{6(6)} and E 6 ( − 26 ) E_{6(-26)} under their simply connected Lie groups.