Irreducible Weight Modules over the Twisted SchrSdinger-Virasoro Algebra  

作　　者：Jun Bo LI Yu Cai SU 

机构地区：[1]Department of Mathematics, Changshu Institute of Technology, Changshu 215500, P. R. China [2]Department of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. China [3]Department of Mathematics, University of Science and Technology of China, HeFei 230026, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2009年第4期531-536,共6页数学学报（英文版）

基　　金：Supported by China Postdoctoral Science Foundation Grant 20080440720, NSF Grants 10671027, 10825101 of China and ＂One Hundred Talents Program＂ from University of Science and Technology of China

摘　　要：It is shown that the support of an irreducible weight module over the SchrSdinger-Virasoro Lie algebra with an infinite-dimensional weight space coincides with the weight lattice, and all nontrivial weight spaces of such a module are infinite-dimensional. As a by-product, it is obtained that every simple weight module over Lie algebra of this type with a nontrivial finite-dimensional weight space is a Harish-Chandra module.It is shown that the support of an irreducible weight module over the SchrSdinger-Virasoro Lie algebra with an infinite-dimensional weight space coincides with the weight lattice, and all nontrivial weight spaces of such a module are infinite-dimensional. As a by-product, it is obtained that every simple weight module over Lie algebra of this type with a nontrivial finite-dimensional weight space is a Harish-Chandra module.

关 键 词：Schrodinger-Virasoro Lie algebras weight modules irreducible modules 

分 类 号：O152.5[理学—数学] Q959.8[理学—基础数学]