A. Kanel-Belov

collaborators

4 papers

math.AG2018

Augmented Polynomial Symplectomorphisms and Quantization

Alexei Kanel-Belov, Andrey Elishev, Jie-Tai Yu

The objective of this paper is the proof of a conjecture of Kontsevich on the isomorphism between groups of polynomial symplectomorphisms and automorphisms of the corresponding Wey…

math.AG2018

Noncommutative Bialynicki-Birula Theorem

Andrey Elishev, Alexei Kanel-Belov, Farrokh Razavinia +2

In this short note we prove that every maximal torus action on the free algebra is conjugate to a linear action. This statement is the free algebra analogue of a classical theorem…

math.RA2018

Construction of a quotient ring of $Z_{2} F$ in which a binomial $1 + w$ 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 $Z_{2} F / I$ , where $\mathbb{Z}_2\mathc…

math.RA2018

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 $2 n$ variables and the group of automorphisms of the $n$ …

Augmented Polynomial Symplectomorphisms and Quantization

Noncommutative Bialynicki-Birula Theorem

Construction of a quotient ring of Z2​F in which a binomial 1+w is invertible using small cancellation methods

Automorphisms of Weyl Algebra and a Conjecture of Kontsevich

Construction of a quotient ring of $Z_{2} F$ in which a binomial $1 + w$ is invertible using small cancellation methods