Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (1): 100-107.

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The Solvable Lie Algebras with Filiform Rn Nilradicals 

  

  1. Department of Mathematics, China West Normal University
  • Received:2007-05-18 Online:2011-03-30 Published:2023-05-12
  • About author:WU Ming-zhong(1981- ), male, native of Huaying, Sichuan, a lecturer of China West Normal University, M.S.D., engages in Lie group.

Abstract: In this paper we explicitly determine automorphism group of filiform Lie algebra Rn to find the indecomposable solvable Lie algebras with filiform Lie algebra Rn nilradicals. We also prove that the indecomposable solvable Lie algebras with filiform Rn nilradicals is complete.

Key words: automorphism, derivation algebra, nilpotent Lie algebra

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