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arXiv · 2310.11180

On the automorphism groups of some nilpotent 3-dimensional Leibniz algebras

L. A. Kurdachenko·O. O. Pypka·M. M. Semko
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Abstract

Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$. The structure of the automorphism group of $3$-dimensional Leibniz algebras, which have nilpotency class $2$ and a one-dimensional center, is studied.

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BibTeXRIS

L. A. Kurdachenko, O. O. Pypka, M. M. Semko. 2023-10-17. On the automorphism groups of some nilpotent 3-dimensional Leibniz algebras. https://arxiv.org/abs/2310.11180

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