Modules over quantum Laurent polynomials I

Abstract

It is shown that the Gelfand--Kirillov dimension for modules over quantum Laurent polynomials is tensor-minimal. The Brookes--Groves invariant associated with a tensor product of modules is determined. It is also shown that there can be nonholonmic simple modules.

References in corpus (1)

• Representations of the quantum torus and applications to finitely presented groups

Cited by in corpus (1)

• A note on the simple modules over McConnell--Pettit algebras