On Classification of Filiform Leibniz Algebras
J.R. GómezDpto. Matemática Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes, s/n. 41012 Sevilla, SpainB. A. OmirovInstitute of Mathematics, National University of Uzbekistan, Dormon Yoli str., 29, 100125, Tashkent, Uzbekistan
Ochiq kirish: yoʻq
ABI
Annotatsiya
In this work we prove that in classifying of filiform Leibniz algebras whose naturally graded algebra is a non-Lie algebra, it suffices to consider some special basis transformations. Moreover, we derive a criterion for two such Leibniz algebras to be isomorphic in terms of such transformations. The classification problem of filiform Leibniz algebras whose naturally graded algebra is non-Lie in an arbitrary dimension, is reduced to the investigation of the conditions obtained.
Hali tarjima qilinmagan