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math.RT2009★ 3 cited
On the Dynkin index of a principal -subalgebra
Dmitri I. Panyushev
Let be a simple Lie algebra over an algebraically closed field of characteristic zero. The goal of this note is to prove a closed formula for the Dynkin index of a principal $s…
math.RT2006★ 3 cited
On the coadjoint representation of -contractions of reductive Lie algebras
Dmitri I. Panyushev
We study the coadjoint representation of contractions of reductive Lie algebras associated with symmetric decompositions. Let be a symmetric dec…