Cohomology of the Schrdinger Algebra S(1)

作     者：Yue Zhu WU Xiao Qing YUE Lin Sheng ZHU 

作者机构：Department of MathematicsChangshu Institute of Technology Department of MathematicsTongji University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2014年第30卷第12期

页      面：2054-2062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：Supported by National Natural Science Foundation of China(Grant No.11271056) Jiangsu Overseas Research & Training Program for University Prominent Young & Middle-aged Teachers and Presidents the Fundamental Research Funds for the Central Universities 

主　　题：Schrodinger algebra first cohomology groups second cohomology groups 

摘      要：We explicitly compute the first and second cohomology groups of the SchrSdinger algebra S（1） with coefficients in the trivial module and the finite-dimensional irreducible modules. We also show that the first and second cohomology groups of S（1） with coefficients in the universal enveloping algebras U（S（1）） （under the adjoint action） are infinite dimensional.