Weighted Vogan diagrams associated to real nilpotent orbits

ESTHER GALINA

New Developments in Lie Theory and Geometry, Contemporary Math. Vol. 491

AMS

Lugar: Providence, Rhode Island; Año: 2008;

We associate to each nilpotent orbit of a real semisimple Lie algebra$g_o$ a weighted Vogan diagram, that is a Dynkin diagram with an involutionof the diagram, a subset of painted nodes and a weight for each node. Everynilpotent element of $g_o$ is noticed in some subalgebra of go. In this paperwe characterize the weighted Vogan diagrams associated to orbits of noticednilpotent elements.