Solvable 3-Lie algebras with a maximal hypo-nilpotent ideal N

Bai, Rui-Pu, Shen, Cai-Hong and Zhang, Yao-Zhong (2010). Solvable 3-Lie algebras with a maximal hypo-nilpotent ideal N. In: 3rd International Workshop on Matrix Analysis and Applications, Hangzhou, People's Republic of China, (43-62). 9-13 July 2009.

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Author Bai, Rui-Pu
Shen, Cai-Hong
Zhang, Yao-Zhong
Title of paper Solvable 3-Lie algebras with a maximal hypo-nilpotent ideal N
Formatted title
Solvable 3-Lie algebras with a maximal hypo-nilpotent ideal N
Conference name 3rd International Workshop on Matrix Analysis and Applications
Conference location Hangzhou, People's Republic of China
Conference dates 9-13 July 2009
Journal name Electronic Journal of Linear Algebra
Place of Publication Pensacola, FL, U.S.A.
Publisher International Linear Algebra Society
Publication Year 2010
Sub-type Fully published paper
Open Access Status File (Publisher version)
ISSN 1081-3810
1537-9582
Volume 21
Start page 43
End page 62
Total pages 20
Language eng
Formatted Abstract/Summary
This paper obtains all solvable 3-Lie algebras with the m-dimensional filiform 3-Lie algebra N (m ≥ 5) as a maximal hypo-nilpotent ideal, and proves that the m-dimensional filiform 3-Lie algebra N can’t be as the nilradical of solvable non-nilpotent 3-Lie algebras. By means of
one dimensional extension of Lie algebras to the 3-Lie algebras, we get some classes of solvable Lie algebras directly.
Keyword 3-Lie algebra
Hypo-nilpotent ideal
Filiform n-Lie algebra
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Special volume on the occasion of the 3rd international workshop on matrix analysis and applications, Hangzhou (Lin.An), China, July 9-13, 2009

Document type: Conference Paper
Collections: School of Mathematics and Physics
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Created: Sun, 05 Dec 2010, 00:13:35 EST