D. Panyushev

activity

19992026

most citedSymmetric pairs and associated commuting varieties

19 citations · 133 across the 72 of their papers we have counts for

collaborators

Showing 2021 · math.RTShow all

4 papers · 2 filters

math.RT2021

Commutative polarisations and the Kostant cascade

Dmitri I. Panyushev

Let $g$ be a complex simple Lie algebra. We classify the parabolic subalgebras $p$ of $g$ such that the nilradical of $p$ has a commutative…

math.RT2021

Projections of the minimal nilpotent orbit in a simple Lie algebra and secant varieties

Dmitri I. Panyushev

Let $G$ be a simple algebraic group with $g = Lie G$ and $O_{min} \subset g$ the minimal nilpotent orbit. For a $Z_{2}$ -grading $\mathfr…

math.RT2021

Periodic automorphisms, compatible Poisson brackets, and Gaudin subalgebras

Dmitri I. Panyushev, Oksana S. Yakimova

Let $g$ be a finite-dimensional Lie algebra. The symmetric algebra $S (g)$ is equipped with the standard Lie-Poisson bracket. In this paper, we elaborat…

math.RT2021

Nilpotent orbits and mixed gradings of semisimple Lie algebras

Dmitri I. Panyushev

Let $σ$ be an involution of a complex semisimple Lie algebra $g$ and $g = g_{0} \oplus g_{1}$ the related $Z_{2}$ -grading. We study relations…