19 citations · 133 across the 72 of their papers we have counts for
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math.RT1999
A classification of the principal nilpotent pairs in simple Lie algebras and related problems
Alexander G. Elashvili, Dmitri I. Panyushev
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…
math.AG1999★ 1 cited
Nilpotent pairs in semisimple Lie algebras and their characteristics
Dmitri I. Panyushev
Recently, V.Ginzburg introduced and studied in depth the notion of a principal nilpotent pair in a semisimple Lie algebra \g. Our aim is to contribute to the general theory of nilp…
math.AG1999★ 17 cited
Nilpotent pairs, dual pairs, and sheets
D. I. Panyushev
Recently, V.Ginzburg introduced the notion of a principal nilpotent pair (= pn-pair) in a semisimple Lie algebra {\frak g}. It is a double counterpart of the notion of a regular ni…