Abstract
This article is devoted to rational equivalence for non-commutative polynomial algebras in a context including both the classical Gelfand–Kirillov problem and its quantum version. We introduce in this “mixed” context some reference algebras and define two new invariants allowing us to separate the fraction fields of these algebras up to isomorphism. The first one is linked to the notion of maximal simple quantum sub-torus, and the second one is a dimensional invariant measuring the classical character (in terms of Weyl algebras) of the skew-fields into consideration. As an application we obtain results concerning the rational equivalence of multiparametrized quantum Weyl algebras.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
