On $n$-ary Lie algebras of type $(r,l)$
Representation Theory
2015-09-15 v1 Differential Geometry
Abstract
These notes are devoted to the multiple generalization of a Lie algebra introduced by A.M.Vinogradov and M.M.Vinogradov. We compare definitions of such algebras in the usual and invariant case. Furthermore, we show that there are no simple -ary Lie algebras of type for .
Keywords
Cite
@article{arxiv.1509.04050,
title = {On $n$-ary Lie algebras of type $(r,l)$},
author = {Elizaveta Vishnyakova},
journal= {arXiv preprint arXiv:1509.04050},
year = {2015}
}