Classification of Three-Dimensional Solvable p-Adic Leibniz Algebras

摘要

The present paper is devoted to the study of low dimensional Leibniz algebras over the field of p-adic numbers. The classification up to isomorphism of three-dimensional Lie algebras overthe integer p-adic numbers is already known 181. Here, we extend this classification to solvable Lie and non-Lie Leibniz algebras over the field of p-adic numbers.