
On classification of n-Lie algebras
Ruipu Bai, Guojie Song, Yaozhong Zhang
Front. Math. China ›› 2011, Vol. 6 ›› Issue (4) : 581-606.
On classification of n-Lie algebras
In this paper, we prove the isomorphic criterion theorem for (n+2)-dimensional n-Lie algebras, and give a complete classification of (n + 2)-dimensional n-Lie algebras over an algebraically closed field of characteristic zero.
n-Lie algebra / classification / multiplication table
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[2.] |
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[3.] |
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[4.] |
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[5.] |
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[6.] |
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[7.] |
Figueroa-O’Farrill J. Metric Lie n-algebras and double extensions. 2008, arXiv: 0806.3534 [math.RT]
|
[8.] |
|
[9.] |
|
[10.] |
|
[11.] |
|
[12.] |
|
[13.] |
|
[14.] |
|
[15.] |
|
[16.] |
|
[17.] |
Ling W. On the structure of n-Lie algebras. Dissertation, University-GHS-Siegen, 1993
|
[18.] |
|
[19.] |
|
[20.] |
|
[21.] |
Nagy P. Prolongations of Lie algebras and applications. arXiv: 0712.1398 [math.DG]
|
[22.] |
|
[23.] |
|
[24.] |
|
[25.] |
|
[26.] |
|
[27.] |
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