Journal of Lie Theory

no. 1
Nonabelian Tensor Product of n-Lie Algebras
Journal of Lie Theory, Volume 30 (2020) no. 1, pp. 259-276
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.
DOI: 10.5802/jolt.1114
Classification: 16W25, 15A69
Keywords: n-Lie algebra, nonabelian tensor product, nonabelian tensor square 
@article{JOLT_2020_30_1_a14,
     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},
     doi = {10.5802/jolt.1114},
     zbl = {1464.17009},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1114/}
}
TY  - JOUR
AU  - S. N. Akbarossadat
AU  - F. Saeedi
TI  - Nonabelian Tensor Product of n-Lie Algebras
JO  - Journal of Lie Theory
PY  - 2020
SP  - 259
EP  - 276
VL  - 30
IS  - 1
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1114/
DO  - 10.5802/jolt.1114
ID  - JOLT_2020_30_1_a14
ER  - 
%0 Journal Article
%A S. N. Akbarossadat
%A F. Saeedi
%T Nonabelian Tensor Product of n-Lie Algebras
%J Journal of Lie Theory
%D 2020
%P 259-276
%V 30
%N 1
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.1114/
%R 10.5802/jolt.1114
%F JOLT_2020_30_1_a14
S. N. Akbarossadat; F. Saeedi. Nonabelian Tensor Product of n-Lie Algebras. Journal of Lie Theory, Volume 30 (2020) no. 1, pp. 259-276. doi: 10.5802/jolt.1114

Cited by Sources: