U(h)-Free Modules over the Lie Algebras of Differential Operators
U(h)-Free Modules over the Lie Algebras of Differential Operators
This paper mainly considers a class of non-weight modules over the Lie algebra of the Weyl type. First, we construct the U(h)-free modules of rank one over the differential operator algebra. Then, we characterize the tensor products of these kind of modules and the quasi-finite highest weight modules. Finally, we …