Polynomial invariants for three-dimensional Leibniz algebras
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 $\leqslant 2$ and by the dimensions of their automorphism groups.
Authors
- Ivan Kaygorodov (ORCID: https://orcid.org/0000-0003-2084-9215)
- Artem Lopatin (ORCID: https://orcid.org/0000-0003-2495-6050)
Institutions
- University of Beira Interior (PT)
- Universidade Estadual de Campinas (UNICAMP) (BR)
Publication Details
- Journal
- Canadian Mathematical Bulletin
- Published
- 2025-11-25
- DOI
- https://doi.org/10.4153/s0008439525101471
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Fundação para a Ciência e a Tecnologia