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Classification of three-dimensional solvable p-adic Leibniz algebras

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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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Authors and Affiliations

  1. Institute of Mathematics and Information Technologies of Academy of Uzbekistan, 29, Do’rmon yo’li srt., 100125, Tashkent, Uzbekistan

    A. Kh. Khudoyberdiyev, T. K. Kurbanbaev & B. A. Omirov

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  1. A. Kh. Khudoyberdiyev
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  2. T. K. Kurbanbaev
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  3. B. A. Omirov
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Correspondence to A. Kh. Khudoyberdiyev.

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Khudoyberdiyev, A.K., Kurbanbaev, T.K. & Omirov, B.A. Classification of three-dimensional solvable p-adic Leibniz algebras. P-Adic Num Ultrametr Anal Appl 2, 207–221 (2010). https://doi.org/10.1134/S2070046610030039

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  • DOI: https://doi.org/10.1134/S2070046610030039

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