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U(h)-Free Modules over the Lie Algebras of Differential Operators
Munayim Dilxat, Shoulan Gao, Dong Liu, Limeng Xia
Source abstract
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 undertake such research for the differential operator algebra of multi-variables.
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