Abstract
Belov-Kanel and Kontsevich (Lett Math Phys 74:181–199, 2005) conjectured that the group of automorphisms of the nth Weyl algebra and the group of polynomial symplectomorphisms of \({\mathbb{C}^{2n}}\) are canonically isomorphic. We discuss how this conjecture can be approached by means of (second) quantized Weyl algebras at roots of unity.
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Backelin, E. Endomorphisms of Quantized Weyl Algebras. Lett Math Phys 97, 317–338 (2011). https://doi.org/10.1007/s11005-011-0471-3
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DOI: https://doi.org/10.1007/s11005-011-0471-3