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

作　　者：Limeng XIA Xiangqian GUO Jiao ZHANG 

机构地区：[1]Institute of Applied System Analysis,Jiangsu University,Zhenjiang 212013,China [2]School of Mathematics and Statistics,Zhengzhou University,Zhengzhou 450001,China [3]Department of Mathematics,Shanghai University,Shanghai 200444,China

出　　处：《Frontiers of Mathematics in China》2021年第4期1089-1097,共9页中国高等学校学术文摘·数学（英文）

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

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 sl3.Then we completely classify all those simple ones.Explicitly,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).

关 键 词：Quantum group SIMPLE Whittaker module Whittaker vector 

分 类 号：O153.3[理学—数学]