Representations and deformations of 3-Hom- ρ -Lie algebras

Peyghan E., Gezer A., Bagheri Z., Gültekin İ.

Journal of Algebra and its Applications, cilt.22, sa.3, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1142/s0219498823500640
  • Dergi Adı: Journal of Algebra and its Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: 3-Hom-rho-Lie algebras, abelian extensions, deformations, representations, LIE-ALGEBRAS, COHOMOLOGY, EXTENSIONS
  • Atatürk Üniversitesi Adresli: Evet

Özet

The aim of this paper is to introduce 3-Hom-ρ-Lie algebra structures generalizing the algebras of 3-Hom-Lie algebra. Also, we investigate the representations and deformations theory of this type of Hom-Lie algebras. Moreover, we introduce the definition of extensions and abelian extensions of 3-Hom-ρ-Lie algebras and show that associated to any abelian extension, there is a representation and a 2-cocycle.