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

Indecomposable representations of the Lie algebra of derivations for d-torus
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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.
出处 《Science China Mathematics》 SCIE 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)
关键词 LIE ALGEBRA INDECOMPOSABLE representation TORUS Lie algebra indecomposable representation torus
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