Classification of three-dimensional solvable p-adic Leibniz algebras
Abror KhudoyberdiyevInstitute of Mathematics and Information Technologies of Academy of Uzbekistan, 29, Do’rmon yo’li srt., 100125, Tashkent, UzbekistanT. K. KurbanbaevInstitute of Mathematics and Information Technologies of Academy of Uzbekistan, 29, Do’rmon yo’li srt., 100125, Tashkent, UzbekistanB. A. OmirovInstitute of Mathematics and Information Technologies of Academy of Uzbekistan, 29, Do’rmon yo’li srt., 100125, Tashkent, Uzbekistan
ABI
Abstract
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 over the integer p-adic numbers is already known [8]. Here, we extend this classification to solvable Lie and non-Lie Leibniz algebras over the field of p-adic numbers.
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