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arXiv · 2505.07125

Polynomial invariants for 3-dimensional Leibniz algebras

Ivan Kaygorodov·Artem Lopatin
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Abstract

For each 3-dimensional non-Lie Leibniz algebra over the complex numbers, we describe the algebra of polynomial invariants and determine its group of automorphisms. As a consequence, we establish that any two non-nilpotent 3-dimensional non-Lie Leibniz algebras can be distinguished by the traces of degrees $\leqslant 2$ and by the dimensions of their automorphism groups.

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Ivan Kaygorodov, Artem Lopatin. 2025-05-11. Polynomial invariants for 3-dimensional Leibniz algebras. https://arxiv.org/abs/2505.07125

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