
Journal of Lie Theory 30 (2020), No. 1, 259276 Copyright Heldermann Verlag 2020 Nonabelian Tensor Product of nLie 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 [Abstractpdf] 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: nLie algebra, nonabelian tensor product, nonabelian tensor square. MSC: 16W25, 15A69. [ Fulltextpdf (150 KB)] for subscribers only. 