A classification of the principal nilpotent pairs in simple Lie algebras and related problems
Representation Theory
2007-05-23 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.math/9909082,
title = {A classification of the principal nilpotent pairs in simple Lie algebras and related problems},
author = {Alexander G. Elashvili and Dmitri I. Panyushev},
journal= {arXiv preprint arXiv:math/9909082},
year = {2007}
}
Comments
22 pages, LaTeX 2.09