Acta mathematica scientia,Series A

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The Real Compact n-Lie Algebras and Invariant Bilinear Forms

Bai Ruipu;Jia Peipei   

  1. Department of Mathematics Hebei University, Baoding 071002
  • Received:2005-09-10 Revised:2006-12-30 Online:2007-12-25 Published:2007-12-25
  • Contact: Bai Ruipu

Abstract: In this paper, the authors study the nondegenerate invariant bilinear forms on n-Lie algebras. The authors propose the definition of compact n -Lie algebra over the real field R and study its structural properties

Key words: n-Lie algebras, Invariant bilinear forms, Representations

CLC Number: 

  • 17B05
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