Classification on irreducible Whittaker modules over quantum group Uq(sl3,∧)

作     者：Limeng XIA Xiangqian GUO Jiao ZHANG Limeng XIA;Xiangqian GUO;Jiao ZHANG

作者机构：Institute of Applied System AnalysisJiangsu UniversityZhenjiang 212013China School of Mathematics and StatisticsZhengzhou UniversityZhengzhou 450001China Department of MathematicsShanghai UniversityShanghai 200444China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2021年第16卷第4期

页      面：1089-1097页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the National Natural Science Foundation of China(Grant Nos.11971440,11871249,11771142,11931009) the Jiangsu Natural Science Foundation(No.BK20171294) 

主　　题：Quantum group simple Whittaker module Whittaker vector 

摘      要：We define the Whittaker modules over the simply-connected quantum group U_(q)(sl3,∧),where A is the weight lattice of Lie algebra *** we completely classify all those simple ***,a simple Whittaker module over U_(q)(sl3,∧)is either a highest weight module,or determined by two parameters z∈C andγ∈C^(*)(up to a Hopf automorphism).