Representations of Lie conformal algebras related to Galilean conformal algebras

We study the representation theory of Lie conformal analogues r(a, b) of certain Galilean conformal algebras, where are complex numbers. We first classify their finite irreducible conformal modules, and then solve the extension problem. In particular, we obtain several classes of new indecomposable...

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Bibliographic Details
Published inCommunications in algebra Vol. 50; no. 6; pp. 2427 - 2438
Main Authors Han, Xiu, Wang, Dengyin, Xia, Chunguang
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.06.2022
Taylor & Francis Ltd
Subjects
Algebra
Complex numbers
Conformal module
extension problem
Galilean conformal algebra
Lie conformal algebra
Modules
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Summary:We study the representation theory of Lie conformal analogues r(a, b) of certain Galilean conformal algebras, where are complex numbers. We first classify their finite irreducible conformal modules, and then solve the extension problem. In particular, we obtain several classes of new indecomposable conformal modules over r(a, b).
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2021.2007393