On classification of four-dimensional nilpotent Leibniz algebras
Communications in Algebra, cilt.45, sa.3, ss.1012-1018, 2017 (SCI-Expanded, Scopus)
- 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.