13 citations · 33 across the 14 of their papers we have counts for
5 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…
Construction of a quotient ring of in which a binomial is invertible using small cancellation methods
A. Atkarskaya, A. Kanel-Belov, E. Plotkin +1
We apply small cancellation methods originating from group theory to investigate the structure of a quotient ring , where $\mathbb{Z}_2\mathc…
Automorphisms of Weyl Algebra and a Conjecture of Kontsevich
Alexei Kanel-Belov, Andrey Elishev, Jie-Tai Yu
We outline the proof of a conjecture of Kontsevich on the isomorphism between the group of polynomial symplectomorphisms in variables and the group of automorphisms of the …
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…
On The Zariski Topology Of Automorphism Groups Of Affine Spaces And Algebras
Alexei Kanel-Belov, Jie-Tai Yu, Andrey Elishev
We study the Zariski topology of the ind-groups of polynomial and free associative algebras $\Aut(K[x_1,...,x_n])$ (which is equivalent to the automorphism group of the affine spac…