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arxiv: math/0702476 · v1 · pith:WUVZRHYQnew · submitted 2007-02-16 · 🧮 math.QA

Versal deformations of Leibniz algebras

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keywords deformationsleibnizalgebrasdeformationgivennon-equivalentproblemversal
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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.

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