| Block型李代数的Whittaker模 |
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| 引用本文： | 严月珍.Block型李代数的Whittaker模[J].贵州教育学院学报,2013(9):13-14. |
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| 作者姓名： | 严月珍 |
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| 作者单位： | 贵州师范大学数学与计算机科学学院,贵州贵阳550001 |
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| 摘 要： | Block型李代数的Whittaker模是一类重要的代数模．设C为复数域，B是一个Block型李代数，V是一个B-模,ψ：B＋→G是一个非奇异李同态．构造出了一类特殊的Whittaker模Lψ，并研究了Lψ的一些基本的性质．
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| 关 键 词： | Block型李代数 Whittaker模 Whittaker向量 |
Whittaker modules for the block Lie algebra |
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| YAN Yue-zhen.Whittaker modules for the block Lie algebra[J].Journal of Guizhou Educational College(Social Science Edition),2013(9):13-14. |
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| Authors: | YAN Yue-zhen |
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| Institution: | YAN Yue-zhen ( School of Mathematies and Computer Science, Guizhou Normal University, Guiyang, Guizhou, 550001 ) |
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| Abstract: | Whittaker module for the block Lie algebra is a kind of important algebra module. Let C be the com- plex field, B be lock Lie algebra; Let V be B -module, andψ ：B＋→ Cbe a Lie algebra homomorphism. A kind of special Whittaker module Lψ is constructed and some properties of it are discussed in this paper. |
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| Keywords: | Block Lie algebra Whittaker module Whittaker vector |
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