A classification of the principal nilpotent pairs in simple Lie algebras and related problems

Details A classification of the principal nilpotent pairs in simple Lie algebras and related problems A classification of the principal nilpotent pairs in simple Lie algebras and related problems

1999-09-15

arxiv.org/abs/math/9909082v1

Mathematics

Representation Theory

22 pages, LaTeX 2.09

Scientific paper

We give a classification of the principal and distinguished nilpotent pairs
in all classical Lie algebras. As a classification of the principal pairs in
the exceptional simple Lie algebras was obtained earlier (see Appendix to
Ginzburg's preprint math.AG/9903059), we thus have a complete classification of
principal nilpotent pairs.

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