In this paper, we complete the lists of Satake diagrams and restricted root systems (including signatures of roots) for all classical semisimple pseudo-Riemannian symmetric spaces, which were classified by M. Berger. We also complete the list of the cohomogeneities of the linear isotropy representations of the spaces.
"Satake Diagrams and Restricted Root Systems of Semisimple Pseudo-Riemannian Symmetric Spaces." Tokyo J. Math. 32 (1) 127 - 158, June 2009. https://doi.org/10.3836/tjm/1249648414