Representation of Simple (n+1)-Dimensional n-Lie Algebras
Received:October 25, 2004  
Key Words: n-Lie algebra   representation   semi-simple   completely reducible.  
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.
Author NameAffiliation
BAI Rui-pu Dept. of Math., Hebei University, Baoding 071002, China 
MENG Dao-ji Dept. of Math., Nankai University, Tianjin 300071, 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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