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arXiv · 1511.01775

On the automorphisms of quantum Weyl algebras

A. P. Kitchin·S. Launois
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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 $U_q^+(\mathfrak{so}_5)$.

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BibTeXRIS

A. P. Kitchin, S. Launois. 2015-11-05. On the automorphisms of quantum Weyl algebras. https://arxiv.org/abs/1511.01775

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