Geodesic
Nonabelian Tensor Product of n-Lie Algebras
Journal of Lie theory, Tome 30 (2020) no. 1, pp. 259-276
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Let $L$ and $P$ be two $n$-Lie algebras over a field $\mathbb{F}$. We define the notion of nonabelian tensor products of $L$ and $P$, which is denoted by $L\otimes P$. We obtain some properties of nonabelian tensor products, and finally, we aim to study the abelianess of $n$-Lie algebras as well as their dimensions.
Classification : 16W25, 15A69
Mots-clés : n-Lie algebra, nonabelian tensor product, nonabelian tensor square 
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     author = {S. N. Akbarossadat and F. Saeedi},
     title = {Nonabelian {Tensor} {Product} of {n-Lie} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {259--276},
     year = {2020},
     volume = {30},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2020_30_1_JLT_2020_30_1_a14/}
}
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S. N. Akbarossadat; F. Saeedi. Nonabelian Tensor Product of n-Lie Algebras. Journal of Lie theory, Tome 30 (2020) no. 1, pp. 259-276. http://geodesic.mathdoc.fr/item/JLT_2020_30_1_JLT_2020_30_1_a14/