Abstract
For a commutative algebra A over denote A module over the smash product is called a jet -module, where is the universal enveloping algebra of In the present paper, we study jet modules in the case of We show that where is the Weyl algebra and L is a Lie subalgebra of called the jet Lie algebra corresponding to Using a Lie algebra isomorphism where is the subalgebra of vector fields vanishing at the point (1, 0), we show that any irreducible finite dimensional L-module is isomorphic to an irreducible -module. As an application, we give tensor product realizations of irreducible jet modules over with uniformly bounded weight spaces.
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.
