Classification of some subclasses of 6-dimensional nilpotent Leibniz algebras

DEMİR İ.

Turkish Journal of Mathematics, cilt.44, sa.5, ss.1925-1940, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 5
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3906/mat-2002-69
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1925-1940
  • Anahtar Kelimeler: Classification, Leibniz algebra, Nilpotency
  • Uşak Üniversitesi Adresli: Evet

Özet

This article is a contribution to the improvement of classification theory in Leibniz algebras. We extend the method of congruence classes of matrices of bilinear forms that was used to classify complex nilpotent Leibniz algebras with one dimensional derived algebra. In this work we focus on applying this method to the classification of 6-dimensional complex nilpotent Leibniz algebras with two dimensional derived algebra.