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 2018 · math.RTShow all

3 papers · 2 filters

math.RT2018★ 5 cited

Poisson-commutative subalgebras of $S (g)$ associated with involutions

Dmitri Panyushev, Oksana Yakimova

The symmetric algebra $S (g)$ of a reductive Lie algebra $g$ is equipped with the standard Poisson structure, i.e., the Lie-Poisson bracket. Poisson-commutative…

math.RT2018★ 2 cited

Abelian ideals of a Borel subalgebra and root systems, II

Dmitri I. Panyushev

Let $g$ be a simple Lie algebra with a Borel subalgebra $b$ and $Ab$ the set of abelian ideals of $b$ . Let $Δ^{+}$ be the corresponding set o…

math.RT2018

Semi-direct products involving $S p_{2 n}$ or $S p i n_{n}$ with free algebras of symmetric invariants

Dmitri I. Panyushev, Oksana S. Yakimova

This is a part of an ongoing project, the goal of which is to classify all semi-direct products $s = g ⋉ V$ such that $g$ is a simple Lie algebra…

Poisson-commutative subalgebras of S(g) associated with involutions

Abelian ideals of a Borel subalgebra and root systems, II

Semi-direct products involving Sp2n​ or Spinn​ with free algebras of symmetric invariants

Poisson-commutative subalgebras of $S (g)$ associated with involutions

Semi-direct products involving $S p_{2 n}$ or $S p i n_{n}$ with free algebras of symmetric invariants