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

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	2418-2426
Number of pages	9
Journal	Communications in Algebra
Volume	50
Issue number	6
DOIs	https://doi.org/10.1080/00927872.2021.2007392
State	Published - 2022

Keywords

Polynomial module
quantum group
simple module

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10.1080/00927872.2021.2007392

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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

Y1 - 2022

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

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Keywords

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