19 citations · 133 across the 72 of their papers we have counts for
21 papers · 1 filter
Nilpotent orbits and their secant varieties
Dmitri I. Panyushev
Let be a simple algebraic group and a nilpotent orbit in . Let denote the affine cone over the secant variety of $\overlin…
On the orbits of a Borel subgroup in abelian ideals
Dmitri I. Panyushev
Let be a Borel subgroup of a semisimple algebraic group , and let be an abelian ideal of . The ideal is determined by certain…
Parabolic contractions of semisimple Lie algebras and their invariants
Dmitri Panyushev, Oksana Yakimova
Let be a connected semisimple algebraic group with Lie algebra and a parabolic subgroup of with . The parabolic contraction of is the semi-direct prod…
Commuting involutions of Lie algebras, commuting varieties, and simple Jordan algebras
Dmitri I. Panyushev
We study certain "σ-commuting varieties" associated with a pair of commuting involutions of a semisimple Lie algebra $\g$. The usual commuting variety of $\g$ and commuting varieti…
Invariant Theory of little adjoint modules
Dmitri I. Panyushev
Let G be a complex simple algebraic group. We consider invariant-theoretic properties of the simple G-module whose highest weight is the short dominant root.
A remarkable contraction of semisimple Lie algebras
Dmitri Panyushev, Oksana Yakimova
Recently, E.Feigin introduced a very interesting contraction of a semisimple Lie algebra (see arXiv:1007.0646 and arXiv:1101.1898). We prove that these…