3 papers
math.RA2025
Countable separation property for associative algebras
Alexey Petukhov
For an associative algebra with a simple module 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 be a classical simple Lie algebra over an algebraically closed field of characteristic zero or large enough, and let 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 represents the rating of movie by customer , if customer $…