On classification of 7-dimensional odd-nilpotent Leibniz algebras-Reference-Cited by-同舟云学术

On classification of 7-dimensional odd-nilpotent Leibniz algebras

Published:2023-03-29 Issue: Volume: Page:1-9
ISSN:2651-477X
Container-title:Hacettepe Journal of Mathematics and Statistics
language:en
Short-container-title:

Author:

DEMİR İsmail¹^ORCID

Affiliation:

1. UŞAK ÜNİVERSİTESİ

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.

Publisher

Hacettepe University

Subject

Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis

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