| GRADED MODULES OF GRADED LIE ALGEBRAS OF CARTAN TYPE (Ⅲ)——IRREDUCIBLE MODULES |
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| 引用本文： | 沈光宇.GRADED MODULES OF GRADED LIE ALGEBRAS OF CARTAN TYPE (Ⅲ)——IRREDUCIBLE MODULES[J].数学年刊B辑(英文版),1988(4). |
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| 作者姓名： | 沈光宇 |
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| 作者单位： | Department of |
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| 基金项目： | National Natural Science Foundation Grant No. 1860432 |
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| 摘 要： | Over a field of characteristic≠2, 3, all irreducible positive and negative graded modulesof simple Lie algebras L(n) and L(n, m) of Cartan type W, S and H are determined.Further, all irreducible positive and negative filtered modules of L(n, m) are determined.For L,(n), every irreducible negative filtered module is a negative graded module, but thereexist irreducible positive filtered modules which are not graded.
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