Weighted Vogan diagrams associated to real nilpotent orbits

Details Weighted Vogan diagrams associated to real nilpotent orbits Weighted Vogan diagrams associated to real nilpotent orbits

2008-05-22

arxiv.org/abs/0805.3548v2

Mathematics

Representation Theory

15 pages; changed content

Scientific paper

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 involution of the diagram, a subset of painted nodes and a weight for each node. Every nilpotent element of $g_o$ is noticed in some subalgebra of $g_o$. In this paper we characterize the weighted Vogan diagrams associated to orbits of noticed nilpotent elements.

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