Properties of the Restricted Leibniz Algebras

DOI10.11845/SXJZ.2012129BzbMath1324.17001arXiv1403.7888OpenAlexW2996178269MaRDI QIDQ5257069

Liangyun Chen, Baoling Guan

Publication date: 29 June 2015

Abstract: The paper studies the structure of restricted Leibniz algebras. More specifically speaking, we first give the equivalent definition of restricted Leibniz algebras, which is by far more tractable than that of a restricted Leibniz algebras in [6]. Second, we obtain some properties of $p$-mappings and restrictable Leibniz algebras, and discuss restricted Leibniz algebras with semisimple elements. Finally, Cartan decomposition and the uniqueness of decomposition for restricted Leibniz algebras are determined.

Full work available at URL: https://arxiv.org/abs/1403.7888

zbMATH Keywords

Leibniz algebrarestricted Leibniz algebra\(p\)-mapping

Mathematics Subject Classification ID

Leibniz algebras (17A32) Modular Lie (super)algebras (17B50)

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