2 papers
math.RA2025
Centralizers in Free Associative Algebras and Generic Matrices
Alexei Belov-Kanel, Farrokh Razavinia, Wenchao Zhang
This paper is concerned with the completion of the proof of the Bergman centralizer theorem by using generic matrices based on our previous quantization proof \cite{KBRZh}. Additio…
math.AG2025
Torus actions on free associative algebras, lifting and BiaÅynicki-Birula type theorems
Alexei Belov-Kanel, Andrey Elishev, Farrokh Razavinia +3
We examine the problem of the linearity of an algebraic torus action in the associative setting. We prove the free algebra analog of a classical theorem of BialynickiBirula, which…