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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.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…
math.RA2024
A Coordinatization Theorem for the Jordan algebra of symmetric 2x2 matrices
Jesús Laliena, Victor López Solís, Ivan Shestakov
The Jacobson Coordinatization Theorem describes the structure of unitary Jordan algebras containing the algebra of symmetric nxn matrices over a field F with the same iden…