6 citations · 15 across the 7 of their papers we have counts for
3 papers · 1 filter
Nonstandard analysis, deformation quantization and some logical aspects of (non)commutative algebraic geometry
Alexei Kanel-Belov, Alexei Chilikov, Ilya Ivanov-Pogodaev +4
This paper surveys results related to well-known works of B. Plotkin and V. Remeslennikov on the edge of algebra, logic and geometry. We start from a brief review of the paper and…
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…
Lifting of Polynomial Symplectomorphisms and Deformation Quantization
Alexei Kanel-Belov, Sergey Grigoriev, Andrey Elishev +2
We study the problem of lifting of polynomial symplectomorphisms in characteristic zero to automorphisms of the Weyl algebra by means of approximation by tame automorphisms. We uti…