3 papers
math.RA2025
Chein Automorphisms of Free Metabelian Anticommutative Algebras
Ruslan Nauryzbaev, Ivan Shestakov, Ualbai Umirbaev
We describe all automorphisms of a free metabelian anticommutative algebra of rank over a field that move only one variable while fixing the others. Such automorphism…
math.RT2025
Representations of the Grassmann Poisson superalgebras
Ivan Shestakov, Ualbai Umirbaev
We prove that every irreducible Poisson supermodule over the Grassmann Poisson superalgebra over a field of characteristic different from is isomorphic to the regular Poi…
math.RA2025
Tangent Lie Algebras of Automorphism Groups of Free Algebras
Ivan Shestakov, Ualbai Umirbaev
We study an analogue of the Andreadakis-Johnson filtration for automorphism groups of free algebras and introduce the notion of tangent Lie algebras for certain automorphism groups…