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 module...

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Bibliographic Details

Published in:	Mathematics (Basel) Vol. 10; no. 10; p. 1728
Main Authors:	Dilxat, Munayim, Gao, Shoulan, Liu, Dong, Xia, Limeng
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01.05.2022
Subjects:	Algebra Differential equations Lie groups Mathematical analysis Mathematics Modules Operators (mathematics) Quantum field theory Tensors
ISSN:	2227-7390, 2227-7390
Online Access:	Get full text
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