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

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 classi...

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Hauptverfasser: Elashvili, Alexander G, Panyushev, Dmitri I
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.math/9909082