%0 Journal Article %T Local orbit types of the isotropy representations for semisimple pseudo-Riemannian symmetric spaces %A Kurando Baba %J Mathematics %D 2013 %I arXiv %X We list up all the possible local orbit types of hyperbolic or elliptic orbits for the isotropy representations of semisimple pseudo-Riemannian symmetric spaces. It is key to give a recipe to determine the local orbit types of hyperbolic principal orbits by using three kind of restricted root systems and Satake diagrams associated with semisimple pseudo-Riemannian symmetric spaces. %U http://arxiv.org/abs/1312.5053v1