An Example of Constructing Versal Deformation for Leibniz Algebras

2007/12/13 by Ashis Kumar Mandal, Mandal, Ashis
Mathematics · #13D10 (Primary) #14D15 (Secondary) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.0712.2096

openalex publication_date 2007/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we compute a versal deformation of the three dimensional nilpotent Leibniz algebra over ℂ, defined by the nontrivial brackets [e₁,e₃]=e₂ and [e₃,e₃]=e₁.

Citations

• Universal enveloping algebras of Leibniz algebras and (co)homology

Related

• Versal deformations of Leibniz algebras
• Versal deformation theory of algebras over a quadratic operad
• Versal Deformations of Three Dimensional Lie Algebras as L-infinity Algebras
• Deformations over non-commutative base
• Cohomology and Versal Deformations of Hom-Leibniz algebras