Rank one polynomial modules over the quantum group of type A 1

In this article, we classify all rank one polynomial modules over the quantum groups and for generic q. We also provide the equivalent conditions for the simplicity of these modules.

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Bibliographic Details
Published in:Communications in algebra Vol. 50; no. 6; pp. 2418 - 2426
Main Authors: Xia, Limeng, Feng, Ge, Hu, Naihong
Format: Journal Article
Language:English
Published: Taylor & Francis 03.06.2022
Subjects:
Polynomial module
quantum group
simple module
ISSN:0092-7872, 1532-4125
Online Access:Get full text
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Description
Summary:In this article, we classify all rank one polynomial modules over the quantum groups and for generic q. We also provide the equivalent conditions for the simplicity of these modules.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2021.2007392