Whittaker Modules for the Derivation Lie Algebra of Torus with Two Variables

被引：0

作者：

Hai Feng LIAN ^{[1
]}

Xiu Fu ZHANG ^{[2
]}

机构：

[1] Department of Mathematics,Fujian Agriculture and Forestry University

[2] School of Mathematics and Statistics,Jiangsu Normal University

来源：

Acta Mathematica Sinica,English Series | 2016年 / 32卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Whittaker vector; Whittaker module; simple module; derivation Lie algebra;

D O I：

暂无

中图分类号：

O152.5 [李群];

学科分类号：

070104 ;

摘要：

Let L be the derivation Lie algebra of C[t±11,t±12].Given a triangle decomposition L=L+⊕h⊕L-,we define a nonsingular Lie algebra homomorphism ψ:L+→C and the universal Whittaker L-module Wψof type ψ.We obtain all Whittaker vectors and submodules of Wψ.Moreover,all simple Whittaker L-modules of type ψ are determined.

引用

页码：1177 / 1188

页数：12