A. Petukhov

activity

20072025

most citedSpherical actions on flag varieties

9 citations · 40 across the 21 of their papers we have counts for

collaborators

24 papers

math.RA2025

Countable separation property for associative algebras

Alexey Petukhov

For an associative algebra $A$ with a simple module $M$ with trivial endomorphisms and trivial annihilator we verify the countable separation property (CSP), i.e. we prove that the…

math.RT2025

Coadjoint orbits of low dimension for nilradicals of Borel subalgebras in classical types

Mikhail Ignatev, Alexey Petukhov

Let $g$ be a classical simple Lie algebra over an algebraically closed field $F$ of characteristic zero or large enough, and let $n$ be a maximal nilpot…

math.HO2025

Low rank matrix completion and realization of graphs: results and problems

S. Dzhenzher, T. Garaev, O. Nikitenko +3

The Netflix problem (from machine learning) asks the following. Given a ratings matrix in which each entry $(i, j)$ represents the rating of movie $j$ by customer $i$ , if customer $…

math.RA2021★ 1 cited

The Poisson spectrum of the symmetric algebra of the Virasoro algebra

Alexey V. Petukhov, Susan J. Sierra

Let $W = C [t, t^{- 1}] \partial_{t}$ be the Witt algebra of algebraic vector fields on $C^{\times}$ and let $V i r$ be the Virasoro algebra, the unique nontrivial central…

math.RT2020

The orbit method for locally nilpotent infinite-dimensional Lie algebras

Mikhail V. Ignatyev, Alexey Petukhov

Let $n$ be a locally nilpotent infinite-dimensional Lie algebra over $C$ . Let $U (n)$ and $S (n)$ be its universal envelop…

math.AG2018★ 5 cited

Spherical actions on isotropic flag varieties and related branching rules

Roman Avdeev, Alexey Petukhov

Let $G$ be a symplectic or special orthogonal group, let $H$ be a connected reductive subgroup of $G$ , and let $X$ be a flag variety of $G$ . We classify all triples $(G, H, X)$ such…