24 citations · 101 across the 42 of their papers we have counts for
16 papers · 1 filter
On Automorphisms of the Tame Polynomial Automorphism Group in Positive Characteristic
Alexei Belov-Kanel, Andrey Elishev, Jie-Tai Yu
In this paper we prove that over algebraically closed field of positive characteristic every automorphism of the group of origin-preserving automorphisms of the polyno…
Torus actions on free associative algebras, lifting and Białynicki-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…
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…
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…
On the tame authomorphism approximation, augmentation Topology of Automorphism Groups and -schemes, and authomorphisms of tame automorphism groups
A. Kanel-Belov, J. -T. Yu, A. Elishev
We study authomorphisms of -groups of polynomial automorphisms (wich are singular) via tame approximations. Such objects were pioneeered in research by B.I.Plotkin We obtain a…
Independence of the B-KK Isomorphism of Infinite Prime
Alexei Kanel-Belov, Andrey Elishev, Jie-Tai Yu
We investigate a certain class of Ind-scheme morphisms corresponding to homomorphisms between the automorphism group of the -th complex Weyl algebra and the group of Poisson str…