On classification of four-dimensional nilpotent Leibniz algebras

DEMİR İ., Misra K. C., Stitzinger E.

Communications in Algebra, vol.45, no.3, pp.1012-1018, 2017 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 3
  • Publication Date: 2017
  • Doi Number: 10.1080/00927872.2016.1172626
  • Journal Name: Communications in Algebra
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1012-1018
  • Keywords: Classification, Leibniz algebra, nilpotency, solvability
  • Uşak University Affiliated: Yes

Abstract

Leibniz algebras are certain generalization of Lie algebras. In this paper, we give the classification of four-dimensional non-Lie nilpotent Leibniz algebras. We use the canonical forms for the congruence classes of matrices of bilinear forms and some other techniques to obtain our result.