On the automorphisms of quantum Weyl algebras

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 $U_q^{+}({\mathfrak{so}}_5)$.

18 pages; minor corrections; to appear in Journal of Pure and Applied Algebra

Cited by in corpus (3)

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• The Automorphism Groups for a family of Generalized Weyl Algebras
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