Classification of the homogeneous spaces of order six (Q1089619)

Following the method of \textit{A. Gray} and \textit{J. A. Wolf} [J. Differ. Geom. 2, 77-114 (1968; Zbl 0169.241) and ibid., 115-159 (1968; Zbl 0182.247)] the author determines the inner automorphisms of order six on all complex compact simple Lie algebras and their fixed point sets, and from there the homogeneous spaces of order six induced by these automorphisms. The results are tables of 7 1/3 pages for the automorphisms and 2 pages for the spaces. The details of the computation are not given; one hopes that the author will deposit his full manuscript at a publicly accessible place so that users of the results will be able to verify their correctness.