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

Indecomposable representations of the Lie algebra

of derivations for d-torus

佚名

【期刊名称】《中国科学》 【年(卷),期】2010(000)002

【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. 【总页数】10页(P.306-315)

【关键词】Lie;algebra;indecomposable;representation;torus 【作者】佚名 【作者单位】; 【正文语种】英文 【中图分类】N 【相关文献】

1.Lie bialgebra structures on derivation Lie algebra over quantum tori [J], Xiaomin TANG; Lijuan LIU; Jinli XU

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