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Weighted Vogan diagrams associated to real nilpotent orbits

Representation Theory 2008-06-17 v2

Abstract

We associate to each nilpotent orbit of a real semisimple Lie algebra gog_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 gog_o is noticed in some subalgebra of gog_o. In this paper we characterize the weighted Vogan diagrams associated to orbits of noticed nilpotent elements.

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Cite

@article{arxiv.0805.3548,
  title  = {Weighted Vogan diagrams associated to real nilpotent orbits},
  author = {Esther Galina},
  journal= {arXiv preprint arXiv:0805.3548},
  year   = {2008}
}

Comments

15 pages; changed content