ANNIHILATOR IDEALS OF FINITE DIMENSIONAL SIMPLE MODULES OF TWO-PARAMETER QUANTIZED ENVELOPING ALGEBRA Ur,s(sl2)

被引：0

作者：

Wang, Yu ^{[1
]}

Changzhou

Li, Xiaoming ^{[2
]}

Yangzhou

机构：

[1] Jiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Jiangsu, Peoples R China

[2] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2023年 / 73卷 / 03期

基金：

中国国家自然科学基金;

关键词：

two-parameter quantum group; locally finite subalgebra; adjoint action; annihilator ideal; ADJOINT REPRESENTATION; QUANTUM;

D O I：

10.21136/CMJ.2023.0193-22

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let U be the two-parameter quantized enveloping algebra U-r,U-s(sl(2)) and F(U) the locally finite subalgebra of U under the adjoint action. The aim of this paper is to determine some ring-theoretical properties of F(U) in the case when rs(-1) is not a root of unity. Then we describe the annihilator ideals of finite dimensional simple modules of U by generators.

引用

页码：715 / 731

页数：17

共 28 条

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[2] DERIVATIONS OF THE TWO-PARAMETER QUANTIZED ENVELOPING ALGEBRA Ur,s+ (B2)
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[3] Ideals of the enveloping algebra U(sl2)
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[4] Ideals in tensor powers of the enveloping algebra U(sl2)
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[5] Annihilator ideals of finite dimensional simple modules of two-parameter quantized enveloping algebra Ur,s(sl2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${U_{r,s}}({\mathfrak{s}\mathfrak{l}_2})$$\end{document}
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[10] The Universal Enveloping Algebra U(sl2 ∝ V2), its Prime Spectrum and a Classification of its Simple Weight Modules
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