- Hacettepe Journal of Mathematics and Statistics
- Cilt: 53 Sayı: 1
- On classification of $7$-dimensional odd-nilpotent Leibniz algebras
On classification of $7$-dimensional odd-nilpotent Leibniz algebras
Authors : Ismail Demir
Pages : 121-129
Doi:10.15672/hujms.1185538
View : 134 | Download : 148
Publication Date : 2024-02-29
Article Type : Research
Abstract :In this paper we extend the method of canonical form for congruence of bilinear forms to give the classification of some subclasses of $7-$dimensional nilpotent Leibniz algebras. Odd-nilpotent Leibniz algebras are defined as that its even dimensional ideals in lower central series are all zero and the classification of $7-$dimensional complex odd-nilpotent Leibniz algebras with one dimensional Leib ideal is obtained by applying the aforementioned method.Keywords : Leibniz algebra, nilpotency, classification