On the automorphisms of quantum Weyl algebras (1511.01775v2)

Published 5 Nov 2015 in math.QA and math.RA

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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