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Makale Tam Makale Uluslararası 2023

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

Esmaeil Peyghan, Aydın Gezer, Zahra Bagheri, İnci Gültekin

Journal of Algebra and its Applications Cilt 22 · Sayı 3 · 01.03.2023
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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.

Anahtar kelimeler

3-Hom-rho-Lie algebras abelian extensions deformations representations LIE-ALGEBRAS COHOMOLOGY EXTENSIONS 3-Hom- ρ -Lie algebras

Atıf için künye

Peyghan, E., Gezer, A., Bagheri, Z., & Gültekin, İ. (2023). Representations and deformations of 3-Hom- ρ -Lie algebras. Journal of Algebra and its Applications, 22(3). https://doi.org/10.1142/s0219498823500640

BibTeX 
@article{peyghan2023-73487,
  author = {Peyghan, Esmaeil and Gezer, Aydın and Bagheri, Zahra and Gültekin, İnci},
  title = {Representations and deformations of 3-Hom- ρ -Lie algebras},
  journal = {Journal of Algebra and its Applications},
  year = {2023},
  volume = {22},
  number = {3},
  issn = {0219-4988},
  doi = {10.1142/s0219498823500640},
  url = {https://akademik.atauni.edu.tr/yayinlar/73487-representations-and-deformations-of-3-hom-r-lie-algebras}
}