Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (1): 86-96.

• Articles • Previous Articles     Next Articles

Classifications of Low Dimensional 3-Lie Algebras

BAI Rui-Pu, WANG Xiao-Ling   

  1. College of Mathematics and Computer, Hebei University, Hebei Baoding 071002
  • Received:2008-04-25 Revised:2009-10-26 Online:2010-01-01 Published:2010-01-01
  • Supported by:

    国家自然科学基金(10871192)和河北省自然科学基金(A2007000138)资助

Abstract:

This paper concerns the classification of m-dimensional 3-Lie algebras with m≤5 over a complete field of characteristic 2, and shows the concrete multiplication table in a basis of 3-Lie algebras for each classes.

Key words: n-Lie algebra, Classification, Dimension

CLC Number: 

  • 17B05
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