3 papers
math.AG2022
Infinite transitivity for automorphism groups of the affine plane
Alisa Chistopolskaya, Gregory Taroyan
This paper is dedicated to the problem of infinite transitivity for algebraically generated automorphism groups of the affine plane. We provide a necessary and sufficient condition…
math.RA2019
On nilpotent generators of the symplectic Lie algebra
Alisa Chistopolskaya
Let be the symplectic Lie algebra over an algebraically closed field of characteristic zero. We prove that for any nonzero nilpotent element $X \i…
math.RA2018
On nilpotent generators of the special linear Lie algebra
Alisa Chistopolskaya
Consider the special linear Lie algebra over an infinite field of characteristic different from . We prove that for any nonzero nilpotent ther…