A class of one-dimensional solvable extensions of the naturally graded filiform 3-Lie algebra NGF 5,3

Gaybullaev, Rustamjon, Nurmatova, Iroda, Tokhtabayeva, Oyjamol

Ўзбекистон Миллий университети хабарлари · 2026-yil

Annotatsiya

In this paper, we study one-dimensional solvable extensions of the naturally gradedfiliform 3-Lie algebra NGF 5,3 . Using the description of derivations of the algebra NGF m,3 , wedetermine the general form of the multiplication table of such extensions and derive the restrictions onits parameters from the fundamental identity. The analysis naturally leads to two cases according tothe coefficients occurring in the product [x,e 1 ,e 2 ]. In the present paper, we consider in detail the caseα = β = 0. By applying suitable adapted changes of basis, the corresponding multiplication tablesare reduced to simpler forms and the remaining parameters are analyzed. The case (α,β) 6= (0,0)is left for a separate investigation.

Maqola ma’lumotlari
MualliflarGaybullaev, Rustamjon, Nurmatova, Iroda, Tokhtabayeva, Oyjamol
JurnalЎзбекистон Миллий университети хабарлари
NashriyotЎзбекистон Миллий университети
ISSN2181-7324, 3093-8996
Nashr sanasi2026-10-07
Jild2
Son2.3
Betlar85-91
TilIngliz
Ilmiy sohaFizika-matematika
Indeksga qo‘shilgan2026-10-08

Maqolaning asl sahifasi

Kalit so‘zlar

3-Lie algebra, naturally graded filiform algebra, solvable extension, hypo-nilpotent ideal, derivation.

Ilmiy soha

Fizika-matematika

Iqtibos keltirish

APAGaybullaev, Rustamjon, Nurmatova, Iroda, & Tokhtabayeva, Oyjamol (2026). A class of one-dimensional solvable extensions of the naturally graded filiform 3-Lie algebra NGF 5,3. Ўзбекистон Миллий университети хабарлари, 2(2.3), 85-91. https://journals.nuu.uz/index.php/actanuuz/article/view/15249
GOST (OAK)Gaybullaev, Rustamjon, Nurmatova, Iroda, Tokhtabayeva, Oyjamol A class of one-dimensional solvable extensions of the naturally graded filiform 3-Lie algebra NGF 5,3 // Ўзбекистон Миллий университети хабарлари. – 2026. – T. 2, № 2.3. – P. 85-91.
MLAGaybullaev, Rustamjon, Nurmatova, Iroda, and Tokhtabayeva, Oyjamol. “A class of one-dimensional solvable extensions of the naturally graded filiform 3-Lie algebra NGF 5,3.” Ўзбекистон Миллий университети хабарлари, 2(2.3), 85-91, 2026. https://journals.nuu.uz/index.php/actanuuz/article/view/15249
ChicagoGaybullaev, Rustamjon, Nurmatova, Iroda, and Tokhtabayeva, Oyjamol. “A class of one-dimensional solvable extensions of the naturally graded filiform 3-Lie algebra NGF 5,3.” Ўзбекистон Миллий университети хабарлари, 2(2.3), 85-91 (2026). https://journals.nuu.uz/index.php/actanuuz/article/view/15249
HarvardGaybullaev, Rustamjon, Nurmatova, Iroda, and Tokhtabayeva, Oyjamol (2026) ‘A class of one-dimensional solvable extensions of the naturally graded filiform 3-Lie algebra NGF 5,3’, Ўзбекистон Миллий университети хабарлари, 2(2.3), 85-91. https://journals.nuu.uz/index.php/actanuuz/article/view/15249
BibTeX
@article{gaybullaevrustamjon2026,
  title = {A class of one-dimensional solvable extensions of the naturally graded filiform 3-Lie algebra NGF 5,3},
  author = {Gaybullaev, Rustamjon and Nurmatova, Iroda and Tokhtabayeva, Oyjamol},
  journal = {Ўзбекистон Миллий университети хабарлари},
  year = {2026},
  volume = {2},
  number = {2.3},
  pages = {85-91},
  url = {https://journals.nuu.uz/index.php/actanuuz/article/view/15249}
}

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