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

Alexander G. Elashvili·Dmitri I. Panyushev
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Abstract

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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Alexander G. Elashvili, Dmitri I. Panyushev. 1999-09-15. A classification of the principal nilpotent pairs in simple Lie algebras and related problems. https://arxiv.org/abs/math/9909082

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