The algebraic and geometric classification of nilpotent Leibniz algebras
Abstract This paper is devoted to the complete algebraic and geometric classification of complex 5-dimensional nilpotent Leibniz algebras. In particular, the variety of complex 5-dimensional nilpotent Leibniz algebras has dimension 24 it has 10 irreducible components (there is only one rigid algebra in this variety).
Authors
- Kobiljon Abdurasulov (ORCID: https://orcid.org/0009-0003-5135-508X)
- Ivan Kaygorodov (ORCID: https://orcid.org/0000-0003-2084-9215)
- Abror Khudoyberdiyev (ORCID: https://orcid.org/0000-0002-0314-3627)
Institutions
- Academy of Sciences Republic of Uzbekistan (UZ)
- University of Beira Interior (PT)
- National University of Uzbekistan (UZ)
Publication Details
- Journal
- Rendiconti del Circolo Matematico di Palermo Series 2
- Published
- 2025-03-08
- DOI
- https://doi.org/10.1007/s12215-025-01191-y
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00