On classification of $7$-dimensional odd-nilpotent Leibniz algebras

Authors : Ismail Demir

Pages : 121-129

Doi:10.15672/hujms.1185538

View : 160 | Download : 154

Publication Date : 2024-02-29

Article Type : Research Paper

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