Local Half-Derivation on of N-Dimensional Naturally Graded Quasi-Filiform Leibniz Algebra of Type II

EasyChair Preprint 15833

Abstract

In the present paper 1/2 -derivations and local 1/2 -derivations of n  -dimensional naturally graded quasi-filiform Leibniz algebra of type II are studied. Namely, a common form of the matrix of 1/2 -derivations and local 1/2 -derivations of these algebras is clarified. It turns out that the common form of the matrix of a 1/2 -derivations on these algebras does not coincide with the local1/2 -derivations’ matrices common form on these algebras. Therefore, these n  -dimensional naturally graded quasi-filiform Leibniz algebra of type II  have local 1/2 -derivations that are not 1/2 -derivations.

Keyphrases: Lie algebra, Schrödinger algebras, local derivations, pairwise non-isomorphic algebras, quasi-filiform Leibniz algebras

@booklet{EasyChair:15833,
  author    = {Bakhtiyor Yusupov and Temur Madrakhimov and Nafosat Vaisova},
  title     = {Local Half-Derivation on of N-Dimensional Naturally Graded Quasi-Filiform Leibniz Algebra of Type II},
  howpublished = {EasyChair Preprint 15833},
  year      = {EasyChair, 2025}}