| Representation of Simple (n+1)-Dimensional n-Lie Algebras |
| Received:October 25, 2004 |
| Key Words:
n-Lie algebra representation semi-simple completely reducible.
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| Fund Project:the National Natural Science Foundation of China (102710176), the Natural Science Foundation (2005000088) of Hebei Province, the Natural Science Foundation (y20040304) of Hebei University, China. |
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| Abstract: |
| This paper gives the sufficient and necessary conditions when an irreducible $L(A)$-module is an $A$-module, and gets the classification of finite dimensional irreducible representations of simple $(n+1)$-dimensional $n$-Lie algebras. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2006.04.003 |
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