Structure of n-Lie Algebras with Involutive Derivations
We study the structure of n-Lie algebras with involutive derivations for n≥2. We obtain that a 3-Lie algebra A is a two-dimensional extension of Lie algebras if and only if there is an involutive derivation D on A=A1 ∔ A-1 such that dim A1=2 or dim A-1=2, where A1 and A-1 are subspaces of A with e...
Main Authors: | Ruipu Bai, Shuai Hou, Yansha Gao |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2018-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2018/7202141 |
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