On the automorphisms of quantum Weyl algebras |
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Authors: | Andrew P. Kitchin Stéphane Launois |
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Affiliation: | School of Mathematics, Statistics & Actuarial Science, University of Kent, Canterbury, Kent CT2 7FS, United Kingdom |
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Abstract: | Motivated by Weyl algebra analogues of the Jacobian conjecture and the tame generators problem, we prove quantum versions of these problems for a family of analogues to the Weyl algebras. In particular, our results cover the Weyl–Hayashi algebras and tensor powers of a quantization of the first Weyl algebra which arises as a primitive factor algebra of . |
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Keywords: | 16W35 16S32 16W20 17B37 |
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