Classi coniugate in
Classification of spherical nilpotent orbits in complex symmetric space.
Compact subgroups of
Compactifications équivariantes par des courbes
Connected abelian complex Lie groups and number fields
In this note we explain a way to associate to any number field some connected complex abelian Lie groups. Further, we study the case of non-totally real cubic number fields, and we see that they are intimately related with the Cousin groups (toroidal groups) of complex dimension and rank .