2007/02/16 by Alice Fialowski, Fialowski, Alice, Ashis Kumar Mandal +3
Mathematics · Physics and Astronomy · #13D10 (primary) #14D15 (secondary) #Advanced Differential Geometry Research #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.math/0702476
openalex publication_date 2007/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work we consider deformations of Leibniz algebras over a field of characteristic zero. The main problem in deformation theory is to describe all non-equivalent deformations of a given object. We give a method to solve this problem completely, namely work out a construction of a versal deformation for a given Leibniz algebra, which induces all non-equivalent deformations and is unique on the infinitesimal level.