Journal of Lie Theory 30 (2020), No. 1, 259--276
Copyright Heldermann Verlag 2020
Nonabelian Tensor Product of n-Lie Algebras
Seyedeh Nafiseh Akbarossadat
Dept. of Mathematics, Islamic Azad University, Mashhad, Iran
n.akbarossadat@gmail.com
Farshid Saeedi
Dept. of Mathematics, Islamic Azad University, Mashhad, Iran
Saeedi@mshdiau.ac.ir
[Abstract-pdf]
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.
Keywords: n-Lie algebra, nonabelian tensor product, nonabelian tensor square.
MSC: 16W25, 15A69.
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