Bakhyt Aitzhanova

collaborators

2 papers

math.RA2023

Automorphisms of Veronese subalgebras of polynomial algebras and free Poisson algebras

Bakhyt Aitzhanova, Leonid Makar-Limanov, Ualbai Umirbaev

The Veronese subalgebra $A_{0}$ of degree $d \geq 2$ of the polynomial algebra $A = K [x_{1}, x_{2}, \dots, x_{n}]$ over a field $K$ in the variables $x_{1}, x_{2}, \dots, x_{n}$ is the subalgebra of $A…

math.AC2022

Automorphisms of affine Veronese surfaces

Bakhyt Aitzhanova, Ualbai Umirbaev

We prove that every derivation and every locally nilpotent derivation of the subalgebra $K [x^{n}, x^{n - 1} y, \dots, x y^{n - 1}, y^{n}]$ , where $n \geq 2$ , of the polynomial algebra $K [x, y]$ …