Irreducible completely pointed modules of quantum groups of type A

被引：5
|
作者：
Futorny, Vyacheslav [1 ]
Hartwig, Jonas [2 ]
Wilson, Evan [3 ]
机构：
[1] Univ Sao Paulo, Dept Math, BR-05315970 Sao Paulo, SP, Brazil
[2] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA
[3] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
来源：
JOURNAL OF ALGEBRA | 2015年 / 432卷
基金：
巴西圣保罗研究基金会;
关键词：
quantum groups; Representation theory; Weight modules of bounded multiplicity; ENVELOPING-ALGEBRAS; WEYL ALGEBRAS;
D O I：
10.1016/j.jalgebra.2015.03.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a classification of all irreducible completely pointed U-q(Sl(n+1)) modules over a characteristic zero field in which q is not a root of unity. This generalizes the classification result of Benkart, Britten and Lemire in the non-quantum case. We also show that any infinite-dimensional irreducible completely pointed U-q(Sl(n+1)) can be obtained from some irreducible completely pointed module over the quantized Weyl algebra A(n+1)(q). 2015 Elsevierdnc. All rights reserved.
引用
收藏
页码：252 / 279
页数：28
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