Abstract
Let Cq be the quantum torus associated with the d×d matrix q=(qij), where qij are roots of unity with qii=1 and qij−1=qji for all 1≤i,j≤d. Let Der(Cq) be the Lie algebra of all the derivations of Cq. In this paper we define the Lie algebra Der(Cq)⋉Cq and classify its irreducible modules with finite dimensional weight spaces. These modules under certain conditions turn out to be of the form V⊗Cq, where V is a finite dimensional irreducible gld-module.
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.
