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Abstract For each three-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 three-dimensional non-Lie Leibniz algebras can be distinguished by the traces of degrees 2 and by the dimensions of their automorphism groups.
Kaygorodov et al. (Tue,) studied this question.