Rank one polynomial modules over the quantum group of type A1

Limeng Xia; Ge Feng; Naihong Hu

doi:10.1080/00927872.2021.2007392

Rank one polynomial modules over the quantum group of type A₁

Limeng Xia^*
, Ge Feng
, Naihong Hu

^*此作品的通讯作者

数学科学学院

Jiangsu University
Fudan University

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

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

源语言	英语
页（从-至）	2418-2426
页数	9
期刊	Communications in Algebra
卷	50
期	6
DOI	https://doi.org/10.1080/00927872.2021.2007392
出版状态	已出版 - 2022

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10.1080/00927872.2021.2007392

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引用此

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title = "Rank one polynomial modules over the quantum group of type A1",

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

keywords = "Polynomial module, quantum group, simple module",

author = "Limeng Xia and Ge Feng and Naihong Hu",

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year = "2022",

doi = "10.1080/00927872.2021.2007392",

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T1 - Rank one polynomial modules over the quantum group of type A1

AU - Xia, Limeng

AU - Feng, Ge

AU - Hu, Naihong

PY - 2022

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N2 - In this article, we classify all rank one polynomial modules over the quantum groups (Formula presented.) and (Formula presented.) for generic q. We also provide the equivalent conditions for the simplicity of these modules.

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

KW - Polynomial module

KW - quantum group

KW - simple module

UR - https://www.scopus.com/pages/publications/85120657546

U2 - 10.1080/00927872.2021.2007392

DO - 10.1080/00927872.2021.2007392

M3 - 文章

AN - SCOPUS:85120657546

SN - 0092-7872

VL - 50

SP - 2418

EP - 2426

JO - Communications in Algebra

JF - Communications in Algebra

IS - 6

ER -

Rank one polynomial modules over the quantum group of type A1

摘要

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Rank one polynomial modules over the quantum group of type A₁