Indecomposable representations of the Lie algebra of derivations for d-torus  

作　　者：Lian HaiFeng Tan ShaoBin Zeng Bo 

机构地区：[1]Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China [2]Fujian Agr & Forestry Univ, Dept Comp & Informat, Fuzhou 350002, Peoples R China [3]Xiangtan Univ, Dept Math, Xiangtan 411105, Peoples R China

出　　处：《Science China Mathematics》2010年第2期306-315,共10页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No.10671160)

摘　　要：Let DerA be the Lie algebra of derivations of the d-torus A = C[t1± 1, . . . , td±1]. By applying Shen-Larsson’s functors we get a class of indecomposable DerA-modules from finite-dimensional indecomposable gld-modules. We also give a complete description of the submodules of these indecomposable DerA-modules. Our results generalize those obtained by Rao.Let DerA be the Lie algebra of derivations of the d-torus A = C[t1± 1, . . . , td±1]. By applying Shen-Larsson’s functors we get a class of indecomposable DerA-modules from finite-dimensional indecomposable gld-modules. We also give a complete description of the submodules of these indecomposable DerA-modules. Our results generalize those obtained by Rao.

关 键 词：LIE ALGEBRA INDECOMPOSABLE representation TORUS 

分 类 号：N[自然科学总论]