Local derivations on Solvable Lie algebras
Rings and Algebras
2018-03-20 v1
Abstract
We show that in the class of solvable Lie algebras there exist algebras which admit local derivations which are not ordinary derivation and also algebras for which every local derivation is a derivation. We found necessary and sufficient conditions under which any local derivation of solvable Lie algebras with abelian nilradical and one-dimensional complementary space is a derivation. Moreover, we prove that every local derivation on a finite-dimensional solvable Lie algebra with model nilradical and maximal dimension of complementary space is a derivation.
Keywords
Cite
@article{arxiv.1803.06668,
title = {Local derivations on Solvable Lie algebras},
author = {Sh. A. Ayupov and A. Kh. Khudoyberdiyev},
journal= {arXiv preprint arXiv:1803.06668},
year = {2018}
}