@article{article_1185538, title={On classification of $7$-dimensional odd-nilpotent Leibniz algebras}, journal={Hacettepe Journal of Mathematics and Statistics}, volume={53}, pages={121–129}, year={2024}, DOI={10.15672/hujms.1185538}, author={Demir, İsmail}, keywords={Leibniz algebra, nilpotency, classification}, 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.}, number={1}, publisher={Hacettepe University}