24 citations · 101 across the 42 of their papers we have counts for
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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…
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 …