Article

The algebraic and geometric classification of nilpotent Leibniz algebras

Kobiljon AbdurasulovCMA-UBI, University of Beira Interior, Covilhã, PortugalIvan KaygorodovCMA-UBI, University of Beira Interior, Covilhã, PortugalAbror KhudoyberdiyevInstitute of Mathematics Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan

Rendiconti del Circolo Matematico di Palermo Series 2journal2025en

ABI

Abstract

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).

Topics

Advanced Topics in Algebra Algebraic structures and combinatorial models Homotopy and Cohomology in Algebraic Topology

Identifiers

DOI: 10.1007/s12215-025-01191-y

Citations and references

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