On the automorphisms of quantum Weyl algebras

Published 5 Nov 2015 in math.QA and math.RA | (1511.01775v2)

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