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math.AG2018★ 3 cited
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…