Geodesic
Nonabelian Tensor Product of n-Lie Algebras
Seyedeh Nafiseh Akbarossadat1 ; Farshid Saeedi1
1Dept. of Mathematics, Islamic Azad University, Mashhad, Iran
Journal of Lie Theory, Tome 30 (2020) no. 1, pp. 259-276

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Seyedeh Nafiseh Akbarossadat  1   ; Farshid Saeedi  1

1 Dept. of Mathematics, Islamic Azad University, Mashhad, Iran 
Seyedeh Nafiseh Akbarossadat; Farshid 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/JOLT_2020_30_1_a14/
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     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/JOLT_2020_30_1_a14/}
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