Real structures on symmetric spaces

Structures réelles sur des espaces symétriques

Lucy Moser-Jauslin (1) , Ronan Terpereau (1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

We obtain a necessary and sufficient condition for the existence of equivariant real structures on complex symmetric spaces for semisimple groups and discuss how to determine the number of equivalence classes for such structures.

Domaines: Géométrie algébrique [math.AG]

Lucy Moser-Jauslin, Ronan Terpereau. Real structures on symmetric spaces. Proceedings of the American Mathematical Society, 2021, 149 (8), pp.3159-3172. ⟨10.1090/proc/15520⟩. ⟨hal-02109615v2⟩