Explicit Cayley triples in real forms of G₂, F₄, and E₆

Dragomir Ž. Ðoković

Vol. 184 (1998), No. 2, 231–255

DOI: 10.2140/pjm.1998.184.231

Abstract

We re-examine the problem of classifying the nilpotent adjoint orbits in semisimple real Lie algebras. We present the list of representatives of these orbits, as well as those of related Cayley triples, in the case when the complexification of the algebra is one of the exceptional complex Lie algebras mentioned in the title.

Milestones

Received: 4 December 1996

Revised: 19 February 1997

Published: 1 June 1998