On classification of four-dimensional nilpotent Leibniz algebras

DEMİR İ., Misra K. C., Stitzinger E.

Communications in Algebra, cilt.45, sa.3, ss.1012-1018, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1080/00927872.2016.1172626
  • Dergi Adı: Communications in Algebra
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1012-1018
  • Anahtar Kelimeler: Classification, Leibniz algebra, nilpotency, solvability
  • Uşak Üniversitesi Adresli: Evet

Özet

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.